y^2(3v+1)dv+y^2(-v^2)dy=0

Lösung

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

v = \frac{1}{3 W ( \frac{1}{3 e ^{\frac{y + c _{1}}{3}}} )}

Schritte zur Lösung

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

Solve separable ODE:

v = \frac{1}{3 W ( \frac{1}{3 e ^{\frac{y + c _{1}}{3}}} )}

v = \frac{1}{3 W ( \frac{1}{3 e ^{\frac{y + c _{1}}{3}}} )}

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

5 y y^{^{'}} = x, y (5) = 2

y^{^{'}} = - y \cdot 0.04 + 3.5 \cdot 0.5

5 x^{^{'}} + 7 x = 15

\frac{d y}{d x} = y x^{2} - 1.1 y, y (0) = 1