1. Solve for the PARTICULAR solution of the initial value problem Yo = 2 У" — у %3D 0, if the GENERAL solution is y Yı = -1 cjet + cze-t. 2. a. Given the ODE y" + 5y' + 6y = 0. Verify if the functions y1 (t) = e-2t andy2 (t) = e-3t are solutions of the linear ODE. b. Find the Wronskian of these two functions.

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A: SOLUTION-

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A: Given :  dx1dt=3x1+x3dx2dt=9x1-x2+2x3dx3dt=-9x1+4x2-x3      x10=0   ,   x20=0    ,   x30=17 To Find…

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Q: Solve the initial-value problem y" + 4y" + 5y' + 2y = 10 cos t, y(0) = 0, y'(0) = 0, y"(0) = 3.

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Q: 2. Solve the initial value problem, if it is exact: (4y+2t – 5)dt+(6y+4t–1)dy = 0, y(-1) = 2.

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