y^'=((1+x))/(xy^4),y(1)=3

Lösung

y^{^{'}} = \frac{( 1 + x )}{x y ^{4}}, y (1) = 3

y = 5 5 ln (x) + 5 x + 238

Schritte zur Lösung

y^{'} (x) = \frac{( 1 + x )}{x y ^{4}}

Solve separable ODE:

y = 5 5 ln (x) + 5 x + 238

y = 5 5 ln (x) + 5 x + 238

\frac{d}{d x} (- 2 x - y^{2} cos (x y^{2}) - 1)

\int \frac{4 x + 1}{4 x ^{2} + 2 x + 3} d x

2 t \cdot \frac{d y}{d t} + 5 y = t

d er i v a t i v e y = \frac{8 x}{e ^{x}}

x \to 1 lim (e^{5 x^{3} - 5 x})