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Beliebt Rechnen >

100y^{''}-20y^'+y=0

Lösung

100 y^{^{''}} - 20 y^{^{'}} + y = 0

Lösung

y = c_{1} e^{\frac{t}{10}} + c_{2} e^{\frac{t}{10}} t

Schritte zur Lösung

100 y^{''} (t) - 20 y^{'} (t) + y = 0

Solve linear ODE:

y = c_{1} e^{\frac{t}{10}} + c_{2} e^{\frac{t}{10}} t

y = c_{1} e^{\frac{t}{10}} + c_{2} e^{\frac{t}{10}} t

Graph

Beliebte Beispiele

(x^2y+3y)y^'=2xy^2+8x

(x^{2} y + 3 y) y^{^{'}} = 2 x y^{2} + 8 x

(dy)/(dx)=e^{-3y}

\frac{d y}{d x} = e^{- 3 y}

(dx)/(dt)=t^3(1-x),x(0)=3

\frac{d x}{d t} = t^{3} (1 - x), x (0) = 3

derivative of 3x^{k-2}+2kx^{k-1}+4x^k

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integral of x/((x-2)^3)

\int \frac{x}{( x - 2 ) ^{3}} d x