Question: Solve the initial value problems. 1. y - 6y' + 5y = sin(4x) y(0) = 1, y'(0) = 4 2. 2y -9y' + 9y =

Solve the initial value problems. 1. y" - 6y' + 5y = sin(4x) y(0) = 1, y'(0) = 4 2. 2y" -9y' + 9y = e3x y(0) = 0, y'(0) = - 8 Write the appropriate form of the particular solution of the following non-homogeneous differential equations. 1. y" -10y' + 25y = x cos(x) + e5x 2. y' + 8y = x2ex - 10x + 1 3. y" + 14y' + 28y = es*sin(2x) - 4x + 7

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