y^3(dy)/(dx)=3x^4y^4-12x^4

Lösung

y^{3} \frac{d y}{d x} = 3 x^{4} y^{4} - 12 x^{4}

y = 4 e^{c_{1} + \frac{12 x ^{5}}{5}} + 4, y = - 4 e^{c_{1} + \frac{12 x ^{5}}{5}} + 4

Schritte zur Lösung

y^{3} \frac{d y}{d x} = 3 x^{4} y^{4} - 12 x^{4}

Solve separable ODE:

y = 4 e^{c_{1} + \frac{12 x ^{5}}{5}} + 4, y = - 4 e^{c_{1} + \frac{12 x ^{5}}{5}} + 4

y = 4 e^{c_{1} + \frac{12 x ^{5}}{5}} + 4, y = - 4 e^{c_{1} + \frac{12 x ^{5}}{5}} + 4

y^{^{'}} - y \cdot tan (x) = 0

\frac{d y}{d t} = - 2 t y

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

\frac{d y}{d t} + y = y t e^{t + 2}

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