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Beliebt Rechnen >

y^{''}-3y^'+2y=0,y(0)=1,y^'(0)=0

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = 0

Lösung

y = - e^{2 t} + 2 e^{t}

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) + 2 y = 0

Solve linear ODE:

y = - e^{2 t} + 2 e^{t}

y = - e^{2 t} + 2 e^{t}

Graph

Beliebte Beispiele

tangent y=(-6x)/(x^2+1),(1,-3)

t an g e n t y = \frac{- 6 x}{x ^{2} + 1}, (1, - 3)

y^'=y(1-0.001y)

y^{^{'}} = y (1 - 0.001 y)

integral from 0 to 1 of pi(x^2)^2

\int_{0}^{1} π (x^{2})^{2} d x

\frac{d}{d t} (6 t)

tangent f(x)= x/(x+6),\at x=1

t an g e n t f (x) = \frac{x}{x + 6}, at x = 1