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## Related Calculus Q&A

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Q: #15

A: The given equation is,

Q: In Problems 15–18 verify that the indicated function y = ϕ(x) is an explicit solution of the given…

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Q: In Problems 19 and 20 verify that the indicated expression is an implicit solution of the given…

A: Given differential equation is dXdt=X-11-2x; We can write it as…

Q: In Problems 1 through 12, verify by substinution that each given function is a solution of the given…

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Q: In Problems 11–14 verify that the indicated function is an explicit solution of the given…

A: Verify that the given function is an explicit solution of the given differential equation. Find an…

Q: In Problems 1-24 find the general solution of the given differential equation. Give the largest…

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Q: In Problems 27 through 31, a function y = g(x) is described by some geometric property of its graph.…

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Q: In Problems 11-14 verify that the indicated function is an explicit solution of the given…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: In Problems 27 through 31, a function y = g(x) is described by some geometric property of its graph.…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

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Q: In Problems 1 through 12, verify by substitution that each given function is a solution of the given…

A: Given: x2y"+xy'-y=lnx where y1=x-lnx , y2=1x-lnx

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Q: In Problems 1-4, a differential equation is given along with the field or problem area in which it…

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Q: In Problems 1–4, state the order of the given ordinary differential equation. Also determine if the…

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Q: In Problems 17 through 26, first verify that y(x) satisfies the 20. y' x-y; y(x) = Ce +x-1, v(0) =…

A: Let us consider differential equation dydx+P(x)y=Q(x), y(x0)=y0 If y(x) be the solution of the…

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Q: find the general solution of the given differential equation. In Problems 9, g is an arbitrary…

A: We have given the differential equation y′′+y=tant, 0<t<π/2

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Q: A. In each of Problems 1 through 3. verify that each given function is a solution of the…

A: Given- The differential equation y"+2y'+y=0 To check- whether the solution of the above…

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Q: In Problems 1-4, a differential equation is given along with the field or problem area in which it…

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Q: In Problems 1 through 12, verify by substinution that each given function is a solution of the given…

A: Click to see the answer

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Q: In problems 1 throught 10, finda function y =f(x) Satisfying the given differential equation and the…

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Q: Each of the differential equations in Problems 31 through 36 is of two different types considered in…

A: We have given diferential equation dydx=xy3-xy and we have to find general solution of this equation…

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Q: In Problems 17 through 26, first verify that y(x) salnsfes given differential equation. Then…

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

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Q: In Problems 1.14 through 1.23, determine (a) the order, (b) the unknown function, and (c) the…

A: Solve the following

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Q: Before trying to find the solution of a differential equation, it is necessary to know its type. The…

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Q: Each of the differential equations in Problems 31 through 36 is of two different types considered in…

A: Given, dydx=3y+7x2⇒dydx=3x2+21x2Here, P=-3x2 Therefore, The integrating factor is, I.F=e∫p…

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Q: In Problems 31 – 36 solve the given differential equation by finding, as in Example 4, an…

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Q: In Problems 5 through 8, assume that the differential equation of a simple pendulum of length L is…

A: An ordinary differential equation is an equation containing independent variables, dependent…

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Q: In Problems 1–16 the indicated function y1(x) is a solution of the given differential equation. Use…

A: To Find -

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Q: B. In each of Problems 5 through 9, verify that each given function is a solution of the…

A: We have to verify that the given function is a solution to the differential equation if it is the…

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Q: In Problems 17 through 26, first verify that y(x) satisfies the given differential equation. Then…

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Q: In Problems 17 through 26, first verify that y.x/ satisfies the given differential equation. Then…

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Q: #12

A: (12)Consider the provided question,

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Q: Please help with number #11. I am getting confused on the integration. {PLEASE TYPE ANSWER OR MAKE…

A: The auxiliary equation and the complementary solution is

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Q: Problem 3. First verify that y(x) satisfies the given differential equation. Then determine a value…

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Q: 1) In an Initial Value Problem (IVP) of the 2nd order ODE, the required initial conditions are and…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

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Q: | In Problems 13 through 16, substitute y = e"x into the given differential equation to determine…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

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Q: In Problems 17 through 26 given differential equation. stant C so that y(x) satisfie computer or…

A: Since, you have asked multiple questions we will solve the first question for you. If you want any…

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Q: In Problems 39, 40, 41, 42, 43, and 44, y = c1 cos 2x + c2 sin 2x is a two-parameter family of…

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Q: 5. The differential equation y'=xy² is subject to the initial condition y(2) = 1. Find the value of…

A: Solution:-

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Q: In Problems 1.14 through 1.23, determine (a) the order, (b) the unknown function, and (c) the…

A: The answer is found in step-2.

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Q: In Problems 21, 22, 23, and 24 verify that the indicated family of functions is a solution of the…

A: Click to see the answer

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Q: In Problems 1.14 through 1.23, determine (a) the order, (b) the unknown function, and (c) the…

A: We have to find order

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Q: In Problems 17 through 26, first verify that y(x) satisfies the 20. y' = x- y; y(x) = Ce +x-1, y(0)…

A: A differential equation is an equation that relates one or more functions and their derivatives .…

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Q: B. In each of Problems 5 through 9, verify that each given function is a solution of the…

A: The given differential equation is y''+2y'-3y=0. Substitute yt=e-3t in y''+2y'-3y=0 and obtain that,…

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Q: If the following differential equation is exact, select the solution to the initial value problem…

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Q: In Problems 9 and 10 determine whether the given first-order differential equation is linear in the…

A: Note: According to the guidelines only one question will be answered please upload remaining…

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Q: 1. Consider the problem y' = 1 – 2xy, y (0) = 0. (a) Since the differential equation is linear, an…

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Q: In each of Problems 21 through 23: (a) Draw a direction field for the given differential equation.…

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Q: #13

A: Given,

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Q: In this problem, y = c1ex + c2e−x is a two-parameter family of solutions of the second-order DE y''…

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Q: 2X - 1 dX 19. di = (x - 1(1 – 2X); In ) =1 20. 2xy dx + (x - y) dy = 0; -2xy + y = 1 In Problems…

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Q: 1 Solve the differential equation 2 2zy' with the initial condition y (1) = 1.

A: The given differential equation is,1y2-2x=2xy'y3having the initial condition y(1)=1