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Beliebt Rechnen >

2y^{''}+5y^'-3y=0,y(0)=1,y^'(0)=4

Lösung

2 y^{^{''}} + 5 y^{^{'}} - 3 y = 0, y (0) = 1, y^{^{'}} (0) = 4

Lösung

y = 2 e^{\frac{t}{2}} - e^{- 3 t}

Schritte zur Lösung

2 y^{''} (t) + 5 y^{'} (t) - 3 y = 0

Solve linear ODE:

y = 2 e^{\frac{t}{2}} - e^{- 3 t}

y = 2 e^{\frac{t}{2}} - e^{- 3 t}

Graph

Beliebte Beispiele

sum from n=0 to infinity of 1/(3^{n+1)}

n = 0 \sum \infty \frac{1}{3 ^{n + 1}}

integral of tan^3(2t)sec^3(2t)

\int tan^{3} (2 t) sec^{3} (2 t) d t

(d^2)/(dx^2)(cos^2(2pix))

\frac{d ^{2}}{d x ^{2}} (cos^{2} (2 π x))

integral of sqrt(x^3)

\int x^{3} d x

derivative sqrt(ln(x^2+1))

d er i v a t i v e ln (x^{2} + 1)