Solve each of the following boundary-value problems. (b) æ®g’’ = 1+ *; y(1)=y(1) = y"(1) = 0 (c) d²s/dt2+12t = 16 sin t; 8=2, ds/dt = -4 at t = 0

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A: Given: The differential equation is ty''+2y'+ty=0 and the initial condition y0=1 To find the…

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A: We solve the given initial value problem by using Laplace transform.

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Q: c) Solve the initial value problem (1 + cos² t). 21) dx dt - x sin 2t = 4t² + 5t +4, x(0) = 2

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Q: (5) Solve the IVP:dy - y = e* cos(2x), y(0) = 2 dx

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Q: Find the general solution to / + (xy)² = y²e%* .

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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A: To Find:Solve the above equation subject to the condition that .

Q: 4. Solve for Y (s) given ty" + y' + ty = 0 y(0) = 0 %3D

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Q: (iii) x- +y=x¹y², y(1) = 1. dy dx (iv) d²y dx² where w, a are constants and w > 0. +w²y = a sinwx,…

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Q: Find the general solution of y" + 12ly = 0. Oy(t)=c₁e-12¹+c₂e Oy(t)=c₁e¹¹+c₂e Oy(t) = c cos 11t+c…

A: This question is about ordinary differential equation.

Q: Solve

A: Step 1: variable separable  Step 2: Step 3: Step 4:

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