mcqs was from handouts like wronksian, bernouli,degree, etc short +long questions: 1:interating factors of dy/dx+3x^2y=6x^2 2:Show that y=e^x+xe^x is the solution of homogenous differetinal equation y,,-2y,+y=0 sorry ye (y) k opar symbols hain in the equation jo k nechy show ho rhe hain hope its helps uh guys. 3:if y1(x)=ex is the first solution of d^2y/dx^2y+2dy/dx-3y=0 then construct its second solution using y^2(x)=y1(x)int e-intp(x)dx/y^21(x). Here p(x) is coefficient of dy/dx. 4:The DE for the radioactivity decay of substance is dA/dt=kA where A(t) is the amount of any time t and k is a constant. if k=-ln2/16 and we have 45g at the end of 32days then find interval.