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.
OM
Related Maths A Level answers
All answers ▸Differentiate sin(x)*x^2
A curve C has the equation x^3 +x^2 -10x +8. Find the points at which C crosses the x axis.
Express 4x/(x^2-9) - 2/(x+3) as a single fraction in its simplest form.
(1.) f(x)=x^3+3x^2-2x+15. (a.) find the differential of f(x) (b.) hence find the gradient of f(x) when x=6 (c.) is f(x) increasing or decreasing at this point?