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Beliebt Rechnen >

(2dy)/(dt)+4y=6,y(0)=1(1/2)

Lösung

\frac{2 d y}{d t} + 4 y = 6, y (0) = 1 (\frac{1}{2})

Lösung

y = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{3}{2}

Schritte zur Lösung

\frac{2 d y}{d t} + 4 y = 6

Solve separable ODE:

y = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{3}{2}

y = - \frac{e ^{- 2 t - c_{1}}}{2} + \frac{3}{2}

Graph

Beliebte Beispiele

(dy)/(dx)=(2-y)sin(x),x=2,c^1=3

\frac{d y}{d x} = (2 - y) sin (x), x = 2, c^{1} = 3

x^'+2^2*3^2*x=0

x^{^{'}} + 2^{2} \cdot 3^{2} \cdot x = 0

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

\frac{d P}{d t} = a \cdot P

x^'=x^2(t^2-1)(t^2-9),x(0)=1

x^{^{'}} = x^{2} (t^{2} - 1) (t^{2} - 9), x (0) = 1