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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- t} + \frac{1}{2} e^{t} - 2 t

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- t} + \frac{1}{2} e^{t} - 2 t

y = c_{1} + c_{2} e^{- t} + \frac{1}{2} e^{t} - 2 t

Graph

Beliebte Beispiele

y^{''}-5y^'+4y=e^{4x}

y^{^{''}} - 5 y^{^{'}} + 4 y = e^{4 x}

y^{''}-6y^'+9y=9x+4

y^{^{''}} - 6 y^{^{'}} + 9 y = 9 x + 4

x^{''}-25x=t^2+t

x^{^{''}} - 25 x = t^{2} + t

y^{''}+2y^'-3y=2xsin(x)sin(2x)

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

4y^{''}-4y^'+y=48e^{t/2}

4 y^{^{''}} - 4 y^{^{'}} + y = 48 e^{\frac{t}{2}}