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(x(dy)/(dx)-y)e^(4/x)=x^(2)cos x...

(x(dy)/(dx)-y)e^(4/x)=x^(2)cos x

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using the subsitiution y = vx : (1) (x(dy)/(dx) -y)^(e^(y/x) =x^(2) cos x

Solve the following differential equations.(4) (x dy/dx-y)e^(y/x)=x^2 cos x

x(dy)/(dx)+y=y^(2)x^(3)cos x

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

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

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

Find (dy)/(dx) if y=e^(x)*e^(x^(2))*e^(x^(3))*e^(x^(4))

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

x ^ (2) yx ^ (3) (dy) / (dx) = y ^ (4) cos x