3.3.45 Question Help Find the first and second derivatives. x3+7 у3 y'=

Q: 1 The derivative dy for the function dx ба. [ 17 17 - ()" y : 17 dy b. [ The derivative for the…

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Q: Solve the given third-order differential equation by variation of parameters. y" + y' = cot(x) y(x)…

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Q: B. Solve for the differential equation of the following families of curves: (1) Family of parabolas…

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Q: 3. Find the value(s) of k for which y = e satisfies the equation y+2y' = y" derivative) (note: y" is…

A: k = 1+2, 1-2explanation is given in below step

Q: Find the Differential Equation of the following family of curves 4. Straight lines with slope half…

A: The equation of straing line is given byy=mx+cwhere,m=slope=dydxand, c=y-interceptat…

Q: 4. Which of the following represents the differential equation of the family of parabola having…

A: Follow the procedure given below.

Q: This differential equation is linear. What is the Q(x)? * Cosx dy t (y- cosx )dn = 0

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Q: Both x and y denotefunctions of t that are related by the given equation. Use this equation and the…

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Q: 5.32. z = sin(x² + y?)

A: To find the differentials of third order.

Q: Suppose we know that the graph to the right is the graph of the right-hand side f(y) of the…

A: According to the given information, it is required to draw the rough sketch of the slope field of…

Q: 1) Find the second derivative of y = csc 2 e cot 2e %3D

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Q: Q.3 Find dx dy by theorem and also check the results by implicit differentiation if x- 1 2y +xy = 0

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Q: y dx + (x'y+')dy -0

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Q: 1. Find the y" of y = (4x - 3x + 1) (5x + 7) 2. Find y" given y = cosx + sin 3x 3. Find all the…

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Q: 5. As a particle moves through the first quadrant, its a and y coordinates are functions of time t,…

A: Given tan(theta)=y/x

Q: y > Ae* +Be* +ce; A,B and c unstant are

A: As per our guidelines we can solve only one question at a time please upload unsolved question…

Q: An important and very useful exact differential to (2y² +2x² +y]dx - xdy = 0

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Q: This differential equation is linear. What is the P(x)? * Cosa dy + (y- cos'x')da = 0

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Q: Consider the following differential equation to be solved by variation of parameters. 4y"-y = eW/2 +…

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Q: find the differential equation for the following families of curves. 8. Horizontal parabolas whose…

A: Consider horizontal parabolas whose vertices lie on y-axis. The objective of the problem is to find…

Q: 4. Bernoulli's Equation 3dy – 4xy dx = 3x²y*e=2x² dx Зdу — 4xу dx

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Q: Can you help me step by step?

A: To determine the value of first and second derivative of the function

Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

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Q: Use the information to find and compare y and dy.                                    Function y =…

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Q: 22. Find the required derivatives. a) y = (4x3 - 2x + 1)-2; find y b) x = Vy? + 1;find x"

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Q: 3) S cos(Inx) dx

A: according to guidelines we should able to do only one question at a time #3

Q: Solve the given third-order differential equation by variation of parameters. y"" + y' = cot(x) y(x)…

A: To find- Solve the given third-order differential equation by variation of parameters. y''' + y' =…

Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

A:

Q: 5. а) Find the derivative of y = (cosh r)*. Show that the function y = e -2" (sin 3x + cos 3.x)…

A: we have to find the derivative of the function y=(cosh x)x2

Q: Find a particular solution yp of the given equation. Primes denote derivatives with respect ס 2y" +…

A: The given differential is non homogeneous differential equation with constant coefficient.

Q: rycotx b) Find If cos (2y) – S cost dt = 4 – x? - dx

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Q: A jar contains 100 mL of a certain substance which, when heated to t degrees Celsius contains E(t) =…

A: the given function for the thermal energy is E(t)=2.3t2-4.5 and as the thermometer is accurate to…

Q: D. Find the differential equation of the family of curves described in each of the following. 1.…

A: To find:- Differential equation of the family of curves described in each of the following. 1.…

Q: Can you help me with this problem step by step?

A: Given:

Q: The third derivative of y = sin(2.x) is (A) None of the given choices B y" = 8 cos(2æ) © y" = -8…

A: This question is related to differentiation, we will solve it using given information.

Q: Find a particular solution to yp of the given equation. In all of the problems, primes denote…

A: In this question, concept of Variation of Parameters in Differential Equation is used. A…

Q: Both x and ydenote functions of i that are related by the given equation. Use this equation and the…

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Q: Q16// Solve the partial differential equation du cot y given that = x when y=- and u=y when x-0 ax…

A: Given partial differential equation, ∂2u∂x∂y=cot3y Given that, ∂u∂x=x when y=π2u=y when x=0

Q: Sin (7€) + Cos (SE) 5지

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Q: The _____ to an O.D.E. is another equation free of any derivatives of differentials expressing the…

A: The _____ to an O.D.E. is another equation free of any derivatives of differentials expressing the…

Q: Find the derivative of y: 1- y = (cos 0)▼2

A: See the details solution in below

Q: The amount u of a radioactive material change in time given as a differential equation du dt = -7u…

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Q: 2. : Consider the function ry + cos y + x 2+ xy. (a) Find the derivative, dy/dx. (b) Find the…

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Q: find a particular solution yp of the given equation. In all these problems, primes denote…

A: Given y 5+5 y 4 -y=17

Q: 8. Use a linear approximation or differentials to estimate the value of v15, knowing the exact value…

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Q: en differential equation by undetermined coef y = x²ex + + 3

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Q: Find the differential of the function   y = θ3 sin(6θ)

A: Solution :-