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Beliebt Rechnen >

y^'+2ty=e^{-t^2}

Lösung

y^{^{'}} + 2 t y = e^{- t^{2}}

Lösung

y = \frac{t}{e ^{t^{2}}} + \frac{c _{1}}{e ^{t^{2}}}

Schritte zur Lösung

y^{'} (t) + 2 t y = e^{- t^{2}}

Solve linear ODE:

y = \frac{t}{e ^{t^{2}}} + \frac{c _{1}}{e ^{t^{2}}}

y = \frac{t}{e ^{t^{2}}} + \frac{c _{1}}{e ^{t^{2}}}

Graph

Beliebte Beispiele

integral from 0 to pi of 6cos^2(3x)

\int_{0}^{π} 6 cos^{2} (3 x) d x

integral of (x^2-4x+5)^2

\int (x^{2} - 4 x + 5)^{2} d x

derivative (x+2)^{2/3}

d er i v a t i v e (x + 2)^{\frac{2}{3}}

tangent y=((x-2))/((x-3))

t an g e n t y = \frac{( x - 2 )}{( x - 3 )}

laplacetransform 6e^{5t}cos(2t)-e^{-7t}

l a pl a ce t r an s f or m 6 e^{5 t} cos (2 t) - e^{- 7 t}