(dy)/(dx)=x^2(y+3)

Lösung

\frac{d y}{d x} = x^{2} (y + 3)

y = e^{\frac{x ^{3}}{3} + c_{1}} - 3

Schritte zur Lösung

\frac{d y}{d x} = x^{2} (y + 3)

Solve separable ODE:

y = e^{\frac{x ^{3}}{3} + c_{1}} - 3

y = e^{\frac{x ^{3}}{3} + c_{1}} - 3

2 y^{4} d x + 5 y^{3} x d y = 0

\frac{y}{x} d y = (1 + y^{2}) d x

(1 - x^{2}) d y = y d x

\frac{d y}{d x} = - \frac{0.2}{cos ( y )}, y (0) = \frac{π}{4}

y^{^{'}} + 6 y^{3} = 0