Solve the differential equation : dy/dx - x^3 -5x = 0
First rearrange the equation dy/dx = x3 + 5x Then move the dx to the RHS of the equation dy = ( x3+ 5x)dxThen integrate both sides, with respect to y on the LHS and with respect to x on the RHS (don't forget the constant of integration!)y = x4/4 + 5x2/2 + CReminder: even though we integrate twice, we only need one constant in our solution, as a constant plus another constant is also a constant.
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