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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of (7x^6+2)/(x^7+2x)

\int \frac{7 x ^{6} + 2}{x ^{7} + 2 x} d x

t an g e n t 2 x^{2}

integral from-2 to-1 of (u-1/(u^2))

\int_{- 2}^{- 1} (u - \frac{1}{u ^{2}}) d u

derivative sqrt(1+x^2)

d er i v a t i v e 1 + x^{2}

(dy)/(dx)=e^{2x}(1+y^2)

\frac{d y}{d x} = e^{2 x} (1 + y^{2})