B.) Solve the differential equation Given below. Show all the necesarry computations. y"-ay •2-8x ;: when x=0, y=0, y'=0

Q: Find the differential equation whose solutions correspond to the following equation 1. y = C,e¬* +…

A: Apologies. We only answer one question at a time. We will answer question 1 as the exact one wasn't…

Q: Using the method of undetermined coefficients, determine the general solution of the following…

A: y"-2y'+2y=sinx+cos2x                                        (1) Auxiliary equation is given by…

Q: 2. (D² + 4)y = sin x + sin 2x

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Q: Q. Solve the following first-order differential equation ip dr ey-r +x = 0, with IVP y(0) = 1. %3D

A: The given initial value problem is ey-xdydx+x=0, y(0)=1. Solve the initial value problem as follows.…

Q: Solve the following differential equation and verify th fundamental set of solutions. y" + 2y' +y =…

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Q: y – 18y"'+ 81y'= 0

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Q: y'dy-(4y + 48x kdx = 0

A: Let us consider the linear non homogenous  first order differential eqaution of the form  dydx+p(x)…

Q: find the ordinary differential equation of the following solutions by eliminating the arbitrary…

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

Q: 2- Solve the following differential equation; dy = ycot(x) + y°csc"x - 1 dx %3D We observe that the…

A: The given differential equation is, dydx=ycotx+y2csc2x-1

Q: Solve the given differential equation by undetermined coefficients. y" – 9y = (x2 – 5) sin(3x) %3D

A: First calculate complementary solution Put, y''-9y=0 Characteristic equation will be k=ddxk2-9=0k=±3…

Q: 1. y'dy-(4y' + 48x klx = 0

A: The simplified form of Bernoulli's equation can be summarized in the following memorable word…

Q: 4. y = Cie+ C2e + Cse, where y(0) =0, y'(0) = 1, y"(0) = 2 %3D

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Q: Solve the following differential equation and its integrating factor. dy Determine the solution of…

A: topic - differential equations

Q: Find the parametric solution of the differential equation given (g)+ 281 %3D

A: For finding the parametric equations for the given differential equation, follow the method below.

Q: dy dr = cos(²) +

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Q: 1. (D² – 9)y = 3e* + x – sin 4x

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Q: Solve the non-linear differential equation (- esc" y) dy + 2x cot y = x³ , given that y(0) = 9.

A: We have to solve given problem:

Q: 01 Solve the following first order differential equations a) = 7y²x³, y(2) = 3 %3D dv

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Q: Solve the given differential equation subject to the indicated conditions. y" - 4y = x + sin x, y(0)…

A: The given differential equation is y''-4y=x+sinx with the initial condition y0=5, y'0=2 Find the…

Q: 5. Solve the differential equation and show the explicit solution: sin 2æda + cos 3ydy = 0, y(T/2) =…

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Q: Solve the following differential equation using Method of Undetermined Coefficients y"-2y"+2y'=4x,…

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Q: Solve the following first order ordinary differential equation. (a) 2y' = 2x2 - 6x²y where y(0) = 1…

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

Q: .. Solve the following differential equation using the indicated method. (a) y"+y' - 2y = x² + 2 sin…

A: Solution is here

Q: 2x(y-x² kdx+dy=0

A: Divide the given differential equation by dx to simplify.…

Q: Solve the given differential equation by undetermined coefficients. y" + 4y = 6 sin(2x)

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Q: Solve the following differential equation using the Method of Undetermined Coefficients y"+y' - 2y =…

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Q: Which of the following functions are solutions of the differential equation y"- 4y'+4y = e*? %3D

A: y''-4y'+4y=ex d). y=xe2x+ex Differentiating with respect to x, we get…

Q: x²y'=1-2xy: y()= %3D %3D

A:

Q: Apply the Euler method to solving the following differential equation with the given parameters. y'…

A: option(5) is correct.

Q: (y² cos x – sin x)dx + (2y sin x + 2)dy = 0 (Exact)

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Q: b. y − y'cosx = y2 (1 – senx)cosx

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Q: у" — бу' — 7у%3D11 sin 4x -

A: We have to mention the general form of the particular solution

Q: (3x²+ 2y²)dx + 2xydy=0

A: According to guidelines here solution of only firt question

Q: Which of the following.functions are solutions of the differential equation y-3y 6? (a) y=-2, (b)…

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Q: 1. (3x²+ 2y²)dx + 2xydy=0 2. (x- 3y + 3)dx + (3x + y + 9)dy = 0

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Q: 5. Use the method of undetermined coefficients to solve the differential equation dy + a²y= cos bx,…

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Q: Use the method of undetermined coefficients to solve the following differential equation: y'' - 7y'…

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Q: Solve the following linear differential equation 1. y''+y'=-cos x 2. y''-6y'+9y =ex

A: we have to solve differential equation

Q: x*dy-(xy+ y² kdx = 0 ; when x = 1 and y = 2

A: Solution:- x2dy-xy+y2dx=0 dydx=xy+y2x2 Put y=vx or dydx=v+xdvdx The differential becomes:…

Q: Which of the following differential equation has a solution of In(y) = G e* + C2e*

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Q: Solve the following first order differential equation. y + 3y = e- cos 5t, y(0) = 4 O None of the…

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Q: Express the following differential equations in the form of a particular solution in terms of the…

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Q: Q3: Solve the following differential equation by using Variable Separable Method: (y² +1) ecosx y²…

A: Topic = Differential equation

Q: Identify the differential equation of the following: (2a? - r2) dr = r³sine de; when 0 = 0, r = a

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Q: Solve the following linear differential equation with the given initial condiont

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Q: 3. Determine whether the given differential equation is exact. If it is exact, solve it. e (x – y3 +…

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Q: 3. Solve the following differential equation subject to the indicated conditions. y" – y = x + sin…

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Q: 1. siny dx + (x - sin? y)dy=0

A: