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Beliebt Rechnen >

y^{''}-8y^'+19y=0

Lösung

y^{^{''}} - 8 y^{^{'}} + 19 y = 0

Lösung

y = e^{4 t} (c_{1} cos (3 t) + c_{2} sin (3 t))

Schritte zur Lösung

y^{''} (t) - 8 y^{'} (t) + 19 y = 0

Solve linear ODE:

y = e^{4 t} (c_{1} cos (3 t) + c_{2} sin (3 t))

y = e^{4 t} (c_{1} cos (3 t) + c_{2} sin (3 t))

Graph

Beliebte Beispiele

(\partial)/(\partial x)(1/(x^2+a^2))

\frac{\partial}{\partial x} (\frac{1}{x ^{2} + a ^{2}})

tangent y=(x^3-25x)^{12},(-5,0)

t an g e n t y = (x^{3} - 25 x)^{12}, (- 5, 0)

integral of a+18

\int a + 18

derivative of sin(7pix)

\frac{d}{d x} (sin (7 π x))

integral of-7e^{5x}

\int - 7 e^{5 x} d x