3y^'-4y-91=2y^'

Lösung

3 y^{^{'}} - 4 y - 91 = 2 y^{^{'}}

y = \frac{e ^{4 t + c_{1}}}{4} - \frac{91}{4}

Schritte zur Lösung

3 y^{'} (t) - 4 y - 91 = 2 y^{'} (t)

Solve separable ODE:

y = \frac{e ^{4 t + c_{1}}}{4} - \frac{91}{4}

y = \frac{e ^{4 t + c_{1}}}{4} - \frac{91}{4}

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

1 x \frac{d y}{d x} + y = \frac{5}{y ^{2}}

x^{^{'}} = 3 x + 3 x

(x - y^{2} x) d x = - (y - x^{2} y) d y

\frac{d y}{d x} + 4 y = 8, y (0) = 0