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Beliebt Rechnen >

t(dy)/(dt)=2te^t-y+6t^2

Lösung

t \frac{d y}{d t} = 2 t e^{t} - y + 6 t^{2}

Lösung

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

Schritte zur Lösung

t \frac{d y}{d t} = 2 t e^{t} - y + 6 t^{2}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of 2e^6

\int 2 e^{6} d x

integral of sqrt(1)+sqrt(x)

\int 1 + x d x

limit as x approaches 8 of x/(x^2-64)

x \to 8 lim (\frac{x}{x ^{2} - 64})

x(dy)/(dx)+y^2+y=0

x \frac{d y}{d x} + y^{2} + y = 0

derivative of sqrt(9x+x^2)

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