17. Determine the differential equation whose general solution is y = C,Sin3t + C,Cos3t . d? y - 9y = 0 а. di? 2 d? y b. +9y = 0 2 di? d'y – 3y = 0 С. | dt? d?y d. – 3y = 0 dt? 2

Q: B(X-1)casy dy = 2x siny dx dif. den kleminin genel %3D Gôzümünü bulunua.

A: Given differential equation is: x-1cosydy=2xsinydx Rearrange the terms so that similar variables are…

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Q: Čonsider the differential equation 4y" + 3(y')? = 8y" ym When making the change of variable v = y'…

A: Please find attachment for the details solution

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Q: Solve the differential equation x²y"- 6xy'+10y=x cos(2x). Linearly independent solutions to the…

A: we solve  problem 2 ,,by method of variation of parameters .

Q: Find a particular solution to /" + 16y = 8 sin(4t).

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Q: Consider the differential equation 3y"+-2y = 2 cost %3D | Which of the following is the general…

A: We have to solve given problem:

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Q: V Solve the difS er en tiul Equation 2zy 9(っt)=y(5)t) -0 f(x)=35inスTメ-2SinラmX Solve by using…

A: The given problem is to solve the given partial differential equations with given initial conditions…

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A: Note: Since you have posted multiple independent questions, we will be solving only the first one…

Q: + 3yx – e = 0 %3D dy + xy = x* dx y" + ye = 0 2. dy + y sin x = 4x dx yy -2x = cos x

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Q: dy Consider the differential equation - 2r da (A) At the point (1, -1), the direction field has a…

A: This question can be solved using the concept of direction field.

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Q: Q1/ solve the differential equation - 24 - 2xy with initial condition y(1) = 1.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 4. Get the exact a. dy = cos 2x dz differentials of y = (sin 2)² b. dy=sin 2z dz dy = sin 2x d.…

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A: We have given a differential equation, D3+3D2+3D+2y=0 This is homogenous differential equation of…

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Q: Solve the following differential equations of Dyy = 2 y-x; 2- yy+ %3D

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Q: Find a differential equation that corresponds to the given direction field. Consider differential…

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Q: Solve the nonhomogeneous equation using the method of undetermined coefficients: y +4y=x-2 cos 2x,…

A: The solution is given as

Q: Find the general solution of the following differential equations: x²y"-3xy' + 5y = x² sin(Inx) b.…

A: Given :  a. x2y''-3xy'+5y=x2sinln xb. x4y'''-2x3y''-x2y'+xy=1c. y'=ex+y+x2ey To Find : Solution of…

Q: dy 1. dx = 6y d y 36у dx2 dy = -36y dx2 2. 3.

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. So, we will answer…