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Beliebt Rechnen >

(dy)/(dt)-2ty=1

Lösung

\frac{d y}{d t} - 2 t y = 1

Lösung

y = \frac{π erf ( t )}{2 e ^{- t^{2}}} + c_{1} e^{t^{2}}

Schritte zur Lösung

\frac{d y}{d t} - 2 t y = 1

Solve linear ODE:

y = \frac{π erf ( t )}{2 e ^{- t^{2}}} + c_{1} e^{t^{2}}

y = \frac{π erf ( t )}{2 e ^{- t^{2}}} + c_{1} e^{t^{2}}

Beliebte Beispiele

limit as x approaches 3-of 2x+1

x \to 3 - lim (2 x + 1)

fläche y=6x^4-6x^2,y=3x^2,x=0

a re a y = 6 x^{4} - 6 x^{2}, y = 3 x^{2}, x = 0

(dy)/(dt)+e^ty=10e^t

\frac{d y}{d t} + e^{t} y = 10 e^{t}

integral of (x^2-x+5)/(x-1)

\int \frac{x ^{2} - x + 5}{x - 1} d x

integral from 0 to pi/2 of xsin(6x)

\int_{0}^{\frac{π}{2}} x sin (6 x) d x