Question: Please answer questions 2 and 4. Q2. Solve the following the initial value problem using Modified Euler's method: y+2y=xe3x,0x1,y(0)=0 with step size h=0.2. Q3 Given

 Please answer questions 2 and 4. Q2. Solve the following the

Please answer questions 2 and 4.

Q2. Solve the following the initial value problem using Modified Euler's method: y+2y=xe3x,0x1,y(0)=0 with step size h=0.2. Q3 Given the initial value problem dxdy=ex+y5x2y,y(0)=1. Use RK 4 method to find an approximate value of y(0.2) with step size h=0.1. Q4. Apply fourth-order Runge-Kutta method (RK4) to find the values of y(0.1) and y(0.2) for the following initial value problem dxdyy=e2x,0x0.2 with initial value y(0)=1 and step size, h=0.1

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