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Beliebt Rechnen >

y^'=t^2e^{-4t}-4y

Lösung

y^{^{'}} = t^{2} e^{- 4 t} - 4 y

Lösung

y = \frac{t ^{3}}{3 e ^{4 t}} + \frac{c _{1}}{e ^{4 t}}

Schritte zur Lösung

y^{'} (t) = t^{2} e^{- 4 t} - 4 y

Solve linear ODE:

y = \frac{t ^{3}}{3 e ^{4 t}} + \frac{c _{1}}{e ^{4 t}}

y = \frac{t ^{3}}{3 e ^{4 t}} + \frac{c _{1}}{e ^{4 t}}

Graph

Beliebte Beispiele

tangent f(x)=4x(x^2-4x+5)^7,\at x=2

t an g e n t f (x) = 4 x (x^{2} - 4 x + 5)^{7}, at x = 2

integral of (x^2-3)^4(2x)

\int (x^{2} - 3)^{4} (2 x) d x

f (x) = e^{4 x}

inverselaplace s/(s^2+6s+25)

in v erse l a pl a ce \frac{s}{s ^{2} + 6 s + 25}

derivative of (3-2x-x^2/(x^2-6))

\frac{d}{d x} (\frac{3 - 2 x - x ^{2}}{x ^{2} - 6})