x^'=(x^2)/2

Lösung

x^{^{'}} = \frac{x ^{2}}{2}

x = - \frac{2}{t + c _{1}}

Schritte zur Lösung

x^{'} (t) = \frac{x ^{2}}{2}

Solve separable ODE:

x = - \frac{2}{t + c _{1}}

x = - \frac{2}{t + c _{1}}

y^{^{'}} = \frac{t}{y}, y (0) = 1

y^{^{'}} - 10 x y = 0

2 t y^{^{'}} = 6 y

y^{^{'}} = \frac{3 sin ( x )}{sin ( y )}, y (0) = \frac{π}{2}

3 y^{3} d y - 6 x^{4} d x = 0