Mathematics, 27.07.2019 06:10, tomboyswagge2887
Solve the differential equation by separation of variables. dx/dy= dy/dx=x^2*cuberoot(y+1)
Answers: 3
![\dfrac{\mathrm{d} y}{\mathrm{d} x}=x^2\sqrt[3] {1+y}\\\dfrac{dy}{\sqrt{1+y}} = x^2dx\\\int\dfrac{dy}{\sqrt[3] {1+y}} = \int x^2dx\\\dfrac{2}{3}(1+y)^{\dfrac{2}{3}}= \dfrac{x^3}{3}+c\\\dfrac{2}{3}(1+y)^{\dfrac{2}{3}}+ \dfrac{x^3}{3}=c](/tpl/images/0137/7781/89b5a.png)
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Solve the differential equation by separation of variables. dx/dy= dy/dx=x^2*cuberoot(y+1)...
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