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Beliebt Rechnen >

y^'+y=te^t

Lösung

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

Lösung

y = \frac{e ^{t} ( 2 t - 1 )}{4} + \frac{c _{1}}{e ^{t}}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{e ^{t} ( 2 t - 1 )}{4} + \frac{c _{1}}{e ^{t}}

y = \frac{e ^{t} ( 2 t - 1 )}{4} + \frac{c _{1}}{e ^{t}}

Graph

Beliebte Beispiele

y^{''}+16y=2sin(2t)

y^{^{''}} + 16 y = 2 sin (2 t)

derivative of sqrt(x^2-5)

\frac{d}{d x} (x^{2} - 5)

limit as x approaches infinity of ax^4+bx^2+c

x \to \infty lim (a x^{4} + b x^{2} + c)

integral of 1/(x^4sqrt(x^2-3))

\int \frac{1}{x ^{4} x ^{2} - 3} d x

derivative of 2cos(4x)

\frac{d}{d x} (2 cos (4 x))