Assignement-1

Solve the following differential equations

1)      3e^xtanydx+(1-e^x) sec²ydy=0

2)      dy/dx= (x+2y+1)/(2x+4y+3)

3)      (4x+6y+5)/(3y+2x+4).dy/dx =1

4)      dy/dx+xsin2y = x³cos²y

5)      (xy³+y)dx+2(x²y²+x+y⁴)dy+0

6)      (3x+2y²)ydx+2x(2x+3y²)dy=0

7)      Find the complete solution of y”+4y’+4y=x²

8)      d²y/d²x-dy/dx= 2x-1-3e^x

9)      d²x+2kdx/dt+b²x= e^-ktsinwt

10)  d²y/d²x-y=xsinx+(1+x²)e^x