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Beliebt Rechnen >

y^'-2/t y=t^2e^t,y(1)=3

Lösung

y^{^{'}} - \frac{2}{t} y = t^{2} e^{t}, y (1) = 3

Lösung

y = e^{t} t^{2} + (3 - e) t^{2}

Schritte zur Lösung

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

Solve linear ODE:

y = e^{t} t^{2} + (3 - e) t^{2}

y = e^{t} t^{2} + (3 - e) t^{2}

Graph

Beliebte Beispiele

derivative 5^{x^2}

d er i v a t i v e 5^{x^{2}}

(1-x^3)y^'-2(1+x)y=y^{5/2}

(1 - x^{3}) y^{^{'}} - 2 (1 + x) y = y^{\frac{5}{2}}

integral of 8+6x+24x^2

\int 8 + 6 x + 24 x^{2} d x

derivative of (9e^xx^{7/2}/2+e^xx^{9/2})

\frac{d}{d x} (\frac{9 e ^{x} x ^{\frac{7}{2}}}{2} + e^{x} x^{\frac{9}{2}})

(\partial)/(\partial x)((4x+9)/(3y+1))

\frac{\partial}{\partial x} (\frac{4 x + 9}{3 y + 1})