Question: In all problems:a. State if problem is linear or nonlinearb. Solve problemc. Check solutiondfdx4x3f=2x3,f(0)=1,xin[0,)dydx=y-1x22-y2x3,y(0)=0,xin[0,)dfdx3xf=2-x2,f(1)=0,xin[1,)dydxsin(x)(ey-1)=3e-2ysin(2x),y(0)=1,xin[0,)Hint: review and use double angle formula for sin(2x)

In all problems:a. State if problem is linear or nonlinearb. Solve problemc. Check solutiondfdx4x3f=2x3,f(0)=1,xin[0,)dydx=y-1x22-y2x3,y(0)=0,xin[0,)dfdx3xf=2-x2,f(1)=0,xin[1,)dydxsin(x)(ey-1)=3e-2ysin(2x),y(0)=1,xin[0,)Hint: review and use double angle formula for sin(2x)

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