(ii)(dy)/(dx)+2y=e^(-x)

Find the general solutions of the following differential equations. (i) (dy)/(dx) = e^(x+y) (ii) (dy)/(dx) = e^(y-x) (iii) (dy)/(dx) = (xy+y)/(yx+x) (iv) y(1+x)dx+x(1+y)dy = 0

Express the following differential equations in the form f(x)dx+g(y)dy = 0 (i) (dy)/(dx) = (2y)/(x) (ii) x+y(dy)/(dx) = 0 (iii) (dy)/(dx) = e^(x-y) + x^(2).e^(-y) (iv) (dy)/(dx) + x^(2) = x^(2)e^(3y)

Solve (dy)/(dx)+2y=e^(-x)

Solve: (dy)/(dx)+2y=e^(-x)

Solve: (dy)/(dx)+2y=e^(-x)

(ii) e^(y)((dy)/(dx)+1)=e^(x)

Find the general solution of the following D.E's (i) (dy)/(dx) = (x-y+3)/(2x-2y+5) (ii) (x-y)dy = (x+y+1) dx

Solve the following differential equations. (i) (dy)/(dx) =(1+y^(2))/(1+x^(2)) (ii) (dy)/(dx) = (sqrt(1-y^(2)))/(sqrt(1-x^(2))) (iii) (dy)/(dx) = 2y tan hx (iv) sqrt(1+x^(2))dx + sqrt(1+y^(2))dy = 0 (v) (dy)/(dy) = e^(x-y)+x^(2)e^(-y)