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Beliebt Rechnen >

y^{''}-2y^'+4y=0,y(0)=1,y^'(0)=2

Lösung

y^{^{''}} - 2 y^{^{'}} + 4 y = 0, y (0) = 1, y^{^{'}} (0) = 2

Lösung

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

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) + 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of x^3+1/(x^3)

\int x^{3} + \frac{1}{x ^{3}} d x

(\partial)/(\partial x)(4z)

\frac{\partial}{\partial x} (4 z)

integral of x/(2+x^2)

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

normal y=x^4+4e^x,(0,4)

n or ma l y = x^{4} + 4 e^{x}, (0, 4)

integral of 3e^x-1/x

\int 3 e^{x} - \frac{1}{x} d x