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Beliebt Rechnen >

3y^{''}-6y^'+3y=0

Lösung

3 y^{^{''}} - 6 y^{^{'}} + 3 y = 0

Lösung

y = c_{1} e^{t} + c_{2} t e^{t}

Schritte zur Lösung

3 y^{''} (t) - 6 y^{'} (t) + 3 y = 0

Solve linear ODE:

y = c_{1} e^{t} + c_{2} t e^{t}

y = c_{1} e^{t} + c_{2} t e^{t}

Graph

Beliebte Beispiele

(\partial)/(\partial y)((2x^2y)/(3+x^2y^2))

\frac{\partial}{\partial y} (\frac{2 x ^{2} y}{3 + x ^{2} y ^{2}})

integral of (e^t)/(1+e^t)

\int \frac{e ^{t}}{1 + e ^{t}} d t

sum from n=0 to infinity of (0.5)^n

n = 0 \sum \infty (0.5)^{n}

derivative f(x)= 5/(2x)

d er i v a t i v e f (x) = \frac{5}{2 x}

(1+x^2)dy-(1+4y^2)dx=0

(1 + x^{2}) d y - (1 + 4 y^{2}) d x = 0