1. Verify that the functions ₁(t) = et and r₂(t) = t + 1 are solutions of the second order homogenuous linear ODE tr" -(

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1 Verify That The Functions T Et And R T T 1 Are Solutions Of The Second Order Homogenuous Linear Ode Tr 1 (37.48 KiB) Viewed 26 times

1. Verify that the functions ₁(t) = et and r₂(t) = t + 1 are solutions of the second order homogenuous linear ODE tr" -(t+1)x' + x = 0. Then calculate and simplify the Wronskian of 21 and 22. 2. Use the method of variation of parameters, as presented in the lecture, to calculate a general solution of the ODE y" + 3y + 2y = 20e-t. 3. Use the method of variation of parameters, as presented in the lecture, to calculate a general solution of the ODE y" +36y= 24 sec (6t).