can anyone please help me answer differential equation problems?

Question

lalaly · Answer

yes;)

anonymous · Answer

attachment

diyadiya · Answer

Queen of Differential equation @lalaly :D

diyadiya · Answer

That's integration & differentiation

anonymous · Answer

I attached the files with the questions .. um.. I wanted to know if my answers were correct. I only answered til the differential but I'm not pretty sure. help me out please..

lalaly · Answer

oh stop it u:P @Diyadiya

lalaly · Answer

which ones do u need help with

anonymous · Answer

the integrals and the 2nd derivatives

lalaly · Answer

$$\frac{d^2}{dx^2}(x^2sinx+2xcosx-2sinx)$$first derivative$$\frac{d}{dx}(x^2sinx+2xcosx-2sinx)$$$$=2xsinx+x^2cosx+2cosx-2xsinx-2cosx$$$$=2xsinx+x^2cosx-2sinx$$now for the second derivative find the derivative of the first derivative$$\frac{d}{dx}(2xsinx+x^2cosx-2sinx)$$