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Beliebt Rechnen >

y^{''}-12y^'+37y=0,y(0)=6,y^'(0)=8

Lösung

y^{^{''}} - 12 y^{^{'}} + 37 y = 0, y (0) = 6, y^{^{'}} (0) = 8

Lösung

y = e^{6 t} (6 cos (t) - 28 sin (t))

Schritte zur Lösung

y^{''} (t) - 12 y^{'} (t) + 37 y = 0

Solve linear ODE:

y = e^{6 t} (6 cos (t) - 28 sin (t))

y = e^{6 t} (6 cos (t) - 28 sin (t))

Graph

Beliebte Beispiele

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\frac{d}{d x} (3 (5 x^{4} + 5 x^{3})^{4})

integral of (x^2+12x+12)/(x^3-4x)

\int \frac{x ^{2} + 12 x + 12}{x ^{3} - 4 x} d x

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\int x^{2} csc^{2} (x) cot (x) d x

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\int + sin^{3} (x) cos^{14} (x) d x

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