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

Lösung

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

y = - \frac{1}{c _{1} + x ^{2} - 6 x + 18 ln ( 3 + x ) - 27}, y = - - \frac{1}{c _{1} + x ^{2} - 6 x + 18 ln ( 3 + x ) - 27}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{1}{c _{1} + x ^{2} - 6 x + 18 ln ( 3 + x ) - 27}, y = - - \frac{1}{c _{1} + x ^{2} - 6 x + 18 ln ( 3 + x ) - 27}

y = - \frac{1}{c _{1} + x ^{2} - 6 x + 18 ln ( 3 + x ) - 27}, y = - - \frac{1}{c _{1} + x ^{2} - 6 x + 18 ln ( 3 + x ) - 27}

x \to 4 + lim (\frac{4 - x}{∣ 4 - x ∣})

\frac{d}{d x} (- 5 x e^{x})

d er i v a t i v e e^{5 t s i n (2 t)}

a re a e^{x}, x e^{x}, 0

\frac{\partial}{\partial x} (x^{2} + y^{2} + z^{2} - 25)