(dy)/(dt)+2y=7

Lösung

\frac{d y}{d t} + 2 y = 7

y = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{7}{2}

Schritte zur Lösung

\frac{d y}{d t} + 2 y = 7

Solve separable ODE:

y = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{7}{2}

y = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{7}{2}

\frac{d x}{d t} = 2 t 1 - x^{2}

3 x [\frac{d y}{d x}] = 4 x y

4 y^{^{''}} + 36 y = csc (3 x)

y^{^{''}} - y = cosh (x)

y^{^{''}} - 4 y^{^{'}} = x e^{4 x}