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xdydx−4y=x6exx\frac{dy}{dx}-4y=x^6e^xxdxdy−4y=x6ex
(x2+1)dydx+3xy=6x\left(x^2+1\right)\frac{dy}{dx}+3xy=6x(x2+1)dxdy+3xy=6x
xdydx−2y=x3cos(x)x\frac{dy}{dx}-2y=x^3cos\left(x\right)xdxdy−2y=x3cos(x)
(x+yx)dx−dy=0\left(x+\frac{y}{x}\right)dx-dy=0(x+xy)dx−dy=0
xdydx+2y=3x\frac{dy}{dx}+2y=3xdxdy+2y=3
cos(x)dydx+sin(x)y=1\cos\left(x\right)\frac{dy}{dx}+\sin\left(x\right)y=1cos(x)dxdy+sin(x)y=1
dydxcosx+ysenx=1\frac{dy}{dx}cosx+ysenx=1dxdycosx+ysenx=1
A differential equation is a mathematical equation that relates some function with its derivatives.
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