y^2x^3dy-(x^3+1)dx=0

Lösung

y^{2} x^{3} d y - (x^{3} + 1) d x = 0

y = 3 3 x - \frac{3}{2 x ^{2}} + c_{1}

Schritte zur Lösung

y^{2} x^{3} d y - (x^{3} + 1) d x = 0

Solve separable ODE:

y = 3 3 x - \frac{3}{2 x ^{2}} + c_{1}

y = 3 3 x - \frac{3}{2 x ^{2}} + c_{1}

- 2 \frac{d y}{d x} + 6 x^{2} = 0

x \to 0 lim (\frac{5 x ^{2}}{x})

\frac{\partial}{\partial x} (\frac{x}{4 x ^{2} + 9 y ^{2}})

d er i v a t i v e y = \frac{x + 5}{x ^{3} + x - 9}

d er i v a t i v e f (x) = \frac{6 x + x ^{2}}{( 3 + x ) ^{2}}