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Beliebt Rechnen >

(dy)/(dt)+0.4ty=5t,y(0)=6

Lösung

\frac{d y}{d t} + 0.4 t y = 5 t, y (0) = 6

Lösung

y = 12.5 - \frac{6.5}{e ^{0.2 t^{2}}}

Schritte zur Lösung

\frac{d y}{d t} + 0.4 t y = 5 t

Solve linear ODE:

y = 12.5 - \frac{6.5}{e ^{0.2 t^{2}}}

y = 12.5 - \frac{6.5}{e ^{0.2 t^{2}}}

Graph

Beliebte Beispiele

integral of (-t)/((t+1)-sqrt(t+1))

\int \frac{- t}{( t + 1 ) - t + 1} d t

\int 36

derivative of 2sin^3(5x)

\frac{d}{d x} (2 sin^{3} (5 x))

integral of 3x(ln(x^7))^2

\int 3 x (ln (x^{7}))^{2} d x

derivative of arctan((3+x/(3-x)))

\frac{d}{d x} (arctan (\frac{3 + x}{3 - x}))