(ln(y))^2(dy)/(dx)=x^2y

Lösung

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

y = e^{3 x^{3} + c_{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = e^{3 x^{3} + c_{1}}

y = e^{3 x^{3} + c_{1}}

y^{^{'}} + \frac{3}{x} y = \frac{1}{x}

8 t y + e^{t} y^{^{'}} = \frac{y}{t ^{2} + 64}

y y^{^{'}} - 4 y^{^{'}} - 5 y = 125

(x + 1) (x - 2) \frac{d y}{d x} + y = 0

3 (16 + y^{2}) d x + 2 x y d y = 0