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Beliebt Rechnen >

y^{''}-5y^'+4y=0,y(0)=6,y(1)=3

Lösung

y^{^{''}} - 5 y^{^{'}} + 4 y = 0, y (0) = 6, y (1) = 3

Lösung

y = (6 - \frac{6 e ^{4} - 3}{e ^{4} - e}) e^{4 t} + \frac{6 e ^{4} - 3}{e ^{4} - e} e^{t}

Schritte zur Lösung

y^{''} (t) - 5 y^{'} (t) + 4 y = 0

Solve linear ODE:

y = (6 - \frac{6 e ^{4} - 3}{e ^{4} - e}) e^{4 t} + \frac{6 e ^{4} - 3}{e ^{4} - e} e^{t}

y = (6 - \frac{6 e ^{4} - 3}{e ^{4} - e}) e^{4 t} + \frac{6 e ^{4} - 3}{e ^{4} - e} e^{t}

Graph

Beliebte Beispiele

sum from n=0 to infinity of (2^n)/n x^n

n = 0 \sum \infty \frac{2 ^{n}}{n} x^{n}

integral of sin(2x)sec(x)

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derivative y=x^{10cos(x)}

d er i v a t i v e y = x^{10 c o s (x)}

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t an g e n t y = 4 tan (x), at x = \frac{π}{6}

integral from 1 to 3 of (x^2+1)^3x

\int_{1}^{3} (x^{2} + 1)^{3} x d x