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Beliebt Rechnen >

y^{''}-2y^'+y=te^t+4

Lösung

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

Lösung

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{e ^{t} t ^{3}}{6} + 4

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{e ^{t} t ^{3}}{6} + 4

y = c_{1} e^{t} + c_{2} t e^{t} + \frac{e ^{t} t ^{3}}{6} + 4

Graph

Beliebte Beispiele

y^{''}+36y=sec^2(6x)

y^{^{''}} + 36 y = sec^{2} (6 x)

y^'=3x^2(1+y^2)

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

derivative of (x-4/x+ln(x/4))

\frac{d}{d x} (\frac{x - 4}{x} + ln (\frac{x}{4}))

y^{''}-4y^'+3y=0,y(0)=1,y^'(0)= 1/3

y^{^{''}} - 4 y^{^{'}} + 3 y = 0, y (0) = 1, y^{^{'}} (0) = \frac{1}{3}

derivative of x^4+8x

\frac{d}{d x} (x^{4} + 8 x)