(dy)/(dx)y^2-x^3=28

Lösung

\frac{d y}{d x} y^{2} - x^{3} = 28

y = 3 84 x + \frac{3 x ^{4}}{4} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} y^{2} - x^{3} = 28

Solve separable ODE:

y = 3 84 x + \frac{3 x ^{4}}{4} + c_{1}

y = 3 84 x + \frac{3 x ^{4}}{4} + c_{1}

\frac{d}{d x} (x y^{4}) = 5

P^{^{'}} = 0.2 P + 100

\frac{d y}{d x} + 6 x^{5} y = 0

\frac{d y}{d x} y = ln (5) x^{5}

y^{^{'}} = - 2 x csc (y)