Q. 1 Solve x^2d^2y/dx^2-3xdy/dx+y=sin(log x)/x
Q. 2 Verify Stokes theorem for F=(x^2-y^2)i+2xyj in the rectangular region in the xy plane bounded by the lines x=0,x=a,y=0,y=b.
Q. 3 Solve y"-3y'+2y=4 given that y(0)=2,y(0)=3 using Laplace transform method .
Q. 4 Solve (D^2-4D+4)y=8[e^2x+x^2]