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Beliebt Rechnen >

y^'-2y=2y^{1/2},y(0)=1

Lösung

y^{^{'}} - 2 y = 2 y^{\frac{1}{2}}, y (0) = 1

Lösung

y = 4 e^{2 t} - 4 e^{t} + 1

Schritte zur Lösung

y^{'} (t) - 2 y = 2 y^{\frac{1}{2}}

Solve separable ODE:

y = 4 e^{2 t} - 4 e^{t} + 1

y = 4 e^{2 t} - 4 e^{t} + 1

Graph

Beliebte Beispiele

(dP)/(dt)=8sqrt(Pt),P(1)=2

\frac{d P}{d t} = 8 Pt, P (1) = 2

(xy^2+y^2)dx+xdy=0

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

(dy)/(dx)+3e^{x+y}=0

\frac{d y}{d x} + 3 e^{x + y} = 0

y^'=sin(x)cos^2(x)tan(y)

y^{^{'}} = sin (x) cos^{2} (x) tan (y)

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

\frac{d y}{d x} = \frac{x y}{x ^{2}}