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Beliebt Rechnen >

y^{''}-3y^'+4y=0

Lösung

y^{^{''}} - 3 y^{^{'}} + 4 y = 0

Lösung

y = e^{\frac{3 t}{2}} (c_{1} cos (\frac{7 t}{2}) + c_{2} sin (\frac{7 t}{2}))

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) + 4 y = 0

Solve linear ODE:

y = e^{\frac{3 t}{2}} (c_{1} cos (\frac{7 t}{2}) + c_{2} sin (\frac{7 t}{2}))

y = e^{\frac{3 t}{2}} (c_{1} cos (\frac{7 t}{2}) + c_{2} sin (\frac{7 t}{2}))

Graph

Beliebte Beispiele

derivative of ((4x-2^4)/(3x^2+7))

\frac{d}{d x} (\frac{( 4 x - 2 ) ^{4}}{3 x ^{2} + 7})

derivative of sqrt(x^2+2x-1)

\frac{d}{d x} (x^{2} + 2 x - 1)

xy^'=y+(xy)^{1/2}

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

\frac{d y}{d x} + y = 10

integral from 1 to 4 of (x)

\int_{1}^{4} (x) d x