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Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{- \frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + t - 1

Schritte zur Lösung

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

Solve linear ODE:

y = e^{- \frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + t - 1

y = e^{- \frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2})) + t - 1

Graph

Beliebte Beispiele

derivative of 6x^2-4x

\frac{d}{d x} (6 x^{2} - 4 x)

y^{''}+5y=0,y^'(1)=5

y^{^{''}} + 5 y = 0, y^{^{'}} (1) = 5

derivative-1/(4x^{3/2)}

d er i v a t i v e - \frac{1}{4 x ^{\frac{3}{2}}}

y^{''}+8y^'+20y=0

y^{^{''}} + 8 y^{^{'}} + 20 y = 0

derivative of x^{1/4}cos(sqrt(7)ln(x))

\frac{d}{d x} (x^{\frac{1}{4}} cos (7 ln (x)))