What is SM of the differential equation (2a + 3) y' = (y + 2x +3) O}y + 2x +3) O1 + (2a + 3)-

Q: How  can we apply second-order differential equations to the study of vibrating springs and electric…

A: Generally the equations of the analogous systems are second order differential equation with…

Q: the 2nd order of the non-homogeneous differential equation, y''-y'-6y=4xex using methods of…

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Q: 3. y'-5y = x*e* - xe* – xe³x

A: 3. the given differential equation is y'-5y=x2ex-xe5x

Q: The decay is basically governed by the first order differential equation = - ka is

A: We have to identify the given statement as true or false.

Q: 4. Show that both x₁ (t) = et cost and x2(t) = et sint are solutions to the second-order…

A: To show that both x1t=e-t cos t, and  x2t=e-t sin tare solutions to the second‐order differential…

Q: Find the general solution of the differential equation or state that the differential equation is…

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Q: Find the general solution of the differential equation or state that the differential equation is…

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: Form the differential equation by eliminating A and B from Ax² +By² = 1.

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Q: What is correct form of the particular solution associated with the differential equationy"=8?

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Q: solve the differential equation by separation of variables. (2+2y2)y'=exy

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Q: The diffeterctial equation is y²dx+ 3xZy² dx + dy=0

A: In the given question we have to find the value of the constant c at the point (2,1) when we solve…

Q: Obtain the differential equation by eliminating all arbitrary constants

A: We need to eliminate constant B.

Q: Explain the steps to determine the a single particular solution of anonhomogene linear differential…

A: Consider a second order non-homogeneous linear differential equation with constant coefficients,…

Q: What is correct form of the particular solution associated with the differential equationy'''=8?

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Q: Find the differential equation associated with y = clx^2+ c2x + c3

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Q: Find general solutions of the differential equation    (2xsinycosy)y'=4x^2+sin^2 y

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Q: 3x2y +y2 2x3+ 3ху dy

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Q: Reduce the differential equation: x2(y-px)=yp2 to chairaut form and find its genenral solution

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Q: What is the appropriate method to find the general solution of this differential equation?

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Q: Consider the differential equation 1 y' = x – 2 with the initial condition y (xo) = = Yo What must…

A: We are given : y'=y-13x-2⇒dydx=y-13x-2⇒dyy-13=dxx-2Now, we will Integrate both…

Q: What is the difference between a particular solution and a gen- eral solution to a differential…

A: Our Aim is to tell the difference between a particular solution and generalsolution to a…

Q: Show that y - In(x +1) is the solution of the differential equation of (1+ x*)y= 4x':

A: Use the formula below to perform the differentiation .

Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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Q: Form a differential equation by eliminating arbitrary constants "A" and "B" from the family of…

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Q: -3-x+x. y (0) -2. y(0)

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Q: obtain the differential equation of the family of straight lines passing through ( 0,1)

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Q: 2. What can you say about a solution of the equation y' = -25y2 just by looking at the differential…

A: Firstly we integrates, then solve it.

Q: Form a differential equation from y = 3cx - 4, here c is the arbitrary constant.

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Q: If μ(x) is an integrating factor for the differential equation (x+2)y∗(x−2)y=8x. then…

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Q: quation for y (x) with real coefficients if two solutions are cos2x and e3x

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Q: Find the general solution of the 2nd order Differential Equation using Variation of Parameters.

A: We will find the general solution of differential equation by using variation of parameters as shown…

Q: Write the general solution of (x² – x)y" + - 2x) y' -y = 0 about x = 0 of Hypergeometric…

A: Compare the given equation with the Hypergeometric equation of the form x1-xy''+c-a+b+1xy'-aby=0,…

Q: The objective is to identify the solution of the non-homogenous Ordinary Differential Equation (You…

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Q: What is Type of a DIfferential Equations?

A: There are four type of differential equations,  1. Ordinary Differential equation. The ordinary…

Q: If m1, m2 are the real and equal roots of the auxilary equation of second order linear differential…

A: Let us consider the second order differential equation y''+py'+qy=0 To solve the differential…

Q: If the family of curve has 3 arbitrary constants then the corresponding differential equation is

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Q: Form the differential equation by eliminating arbitrary constants:y=ax3+bx2

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Q: Find a differential equation of the family of cubics cy² = x² (x – a) with 'a' held fixed.

A: The given expression is,  Assume 'c' as the arbitrary constant and 'a' as a parameter. Take log on…

Q: 3. (D² + 4)y = 0

A: Given:         D2+4y=0      Auxiliary equation is        m2+4=0         m2=-4          m=±-4…

Q: Find the genprat Sotoution of the differential equation 3x+2 2y

A: By using the Separation of Variables Method.

Q: Describe the separation-of-variables technique for obtainingthe solution to a differential equation.

A: To describe the separation of variable technique.

Q: 3. y"+ y= 2rsina

A: According to the bartleby policy , I can only answer one question.  So I answered  first question.

Q: y' = ycotx + y²cscx

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Q: 5. In the differential equation 2rydx + (y² -xy-0. what is -- 心

A: Solution

Q: Find the general solution of the differential equation or state that the differential equation is…

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Q: If the differential equation +8. + 9x = m dt2 is overdamped, the range of values form is? Your…

A: Let the differential equation is,                       ad2xdt2 +bdxdt +cx =0 .............(1) It…

Q: Solve the Differential Equation using METHODS OF UNDETERMINED COEFFICIENT: y''+y'-3y=4sin2x

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Q: determine the general solution of given non-homogeneous differential equations using different…

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