Question: Question 2 & 3 using mathematica software.showing some error 2. Consider the linear differential equation: y + 4y' + 13y = e2 sin(3x) + x*

Question 2 & 3 using mathematica software.showing some error

Question 2 & 3 using mathematica software.showing some error 2. Consider the

2. Consider the linear differential equation: y" + 4y' + 13y = e2 sin(3x) + x* + xet cos(x). (a) Find the general solution of this equation by using DSolve command. (b) Use DSolve command to find the particular solutions of this equation that satisfies the initial conditions y(0) = .01, y'(0) = .02 and y(0) = 0, y'(0) = .01. (c) Plot the obtained solutions on the interval 0, 1 on the same coordinate system. 3. Consider the Euler's differential equation: x?y" - 5xy' + 9y =24+ 2x3 Inx. (a) Find the general solution of this equation by using DSolve command

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