(y^')/x+3xy=x

Lösung

\frac{y ^{^{'}}}{x} + 3 x y = x

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

y ln (x) d x = x ln (y) d y

y^{^{'}} = y^{2} (x) cos (x)

(\frac{d y}{d x}) - y x = 0

\frac{d y}{d x} = 70 y x^{6}, y = 6

\frac{d v}{d t} = v \cdot t^{3} - 1.5 \cdot v, v (0) = 1