y^'=5y-2

Lösung

y^{^{'}} = 5 y - 2

y = \frac{e ^{5 t + c_{1}}}{5} + \frac{2}{5}

Schritte zur Lösung

y^{'} (t) = 5 y - 2

Solve separable ODE:

y = \frac{e ^{5 t + c_{1}}}{5} + \frac{2}{5}

y = \frac{e ^{5 t + c_{1}}}{5} + \frac{2}{5}

\frac{d y}{d x} + 3 y = 12

\frac{d y}{d x} + 3 y = 15

3 y d x + 3 d x = 4 x d y

y^{^{'}} + \frac{y}{x} = \frac{2}{x}

y^{3} \frac{d y}{d x} = 4 x^{3} y^{4} - 16 x^{3}