x^4+y^3sqrt(x^5+4)y^'=0,y(0)=0

Lösung

x^{4} + y^{3} x^{5} + 4 y^{^{'}} = 0, y (0) = 0

y = 4 - \frac{8 x ^{5} + 4}{5} + \frac{16}{5}, y = - 4 - \frac{8 x ^{5} + 4}{5} + \frac{16}{5}

Schritte zur Lösung

x^{4} + y^{3} x^{5} + 4 y^{'} (x) = 0

Solve separable ODE:

y = 4 - \frac{8 x ^{5} + 4}{5} + \frac{16}{5}, y = - 4 - \frac{8 x ^{5} + 4}{5} + \frac{16}{5}

y = 4 - \frac{8 x ^{5} + 4}{5} + \frac{16}{5}, y = - 4 - \frac{8 x ^{5} + 4}{5} + \frac{16}{5}

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

d er i v a t i v e 7 (e^{x} cos (x) - e^{x} sin (x))

\frac{d}{d x} (x - 1 + \frac{16}{x})

n = 1 \sum \infty \frac{3 ^{n}}{n !}

(x, y) \to (3, 2) lim (e^{2 x - y})