1. Solve the following differential equations: y" -2y-3-0 y + 4y = x. y(0) - O, y'(0)-0 y"-10y' +9y5t, y(0) -1, y'(o) =

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1 Solve The Following Differential Equations Y 2y 3 0 Y 4y X Y 0 O Y 0 0 Y 10y 9y5t Y 0 1 Y O 1 (19.3 KiB) Viewed 30 times

1. Solve the following differential equations: y" -2y-3-0 y + 4y = x. y(0) - O, y'(0)-0 y"-10y' +9y5t, y(0) -1, y'(o) = 2 - 2. Use formula to find Laplace transform of the following functions. f(t) = 4t-10 f(t)- 2²-e-91+ cos(6t) f(t) = t (1-2), where pt-2) is a unit step function. 3. Use formula to find inverse Laplace transform of the following functions. 1 - F(s) = (s+2)² to F(s) = (s+1)² 1 o F(s) = S-4