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Beliebt Rechnen >

y^'+6y=4,y(0)=0

Lösung

y^{^{'}} + 6 y = 4, y (0) = 0

Lösung

y = - \frac{2 e ^{- 6 t}}{3} + \frac{2}{3}

Schritte zur Lösung

y^{'} (t) + 6 y = 4

Solve separable ODE:

y = - \frac{2 e ^{- 6 t}}{3} + \frac{2}{3}

y = - \frac{2 e ^{- 6 t}}{3} + \frac{2}{3}

Graph

Beliebte Beispiele

(dy)/(dx)=((ln(x))^6)/(xy^2)

\frac{d y}{d x} = \frac{( ln ( x ) ) ^{6}}{x y ^{2}}

y^{^{'}} + 5 y^{3} = 0

(dy)/(dx)=(x^2+1)/(y^2+1),y(2)=2

\frac{d y}{d x} = \frac{x ^{2} + 1}{y ^{2} + 1}, y (2) = 2

y'(t)=y(y+1)^2,y(0)=1

y^{'} (t) = y (y + 1)^{2}, y (0) = 1

(dy)/(dx)=(35)/(y^{1/6)+49x^2y^{1/6}}

\frac{d y}{d x} = \frac{35}{y ^{\frac{1}{6}} + 49 x ^{2} y ^{\frac{1}{6}}}