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Beliebt Rechnen >

4y^{''}-4y^'+10y=0

Lösung

4 y^{^{''}} - 4 y^{^{'}} + 10 y = 0

Lösung

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2}))

Schritte zur Lösung

4 y^{''} (t) - 4 y^{'} (t) + 10 y = 0

Solve linear ODE:

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2}))

y = e^{\frac{t}{2}} (c_{1} cos (\frac{3 t}{2}) + c_{2} sin (\frac{3 t}{2}))

Graph

Beliebte Beispiele

integral of x/((x^2+1)(x-1))

\int \frac{x}{( x ^{2} + 1 ) ( x - 1 )} d x

derivative of x^{(x^x})

\frac{d}{d x} (x^{(x^{x})})

limit as x approaches 6 of (x^2)/(x-6)

x \to 6 lim (\frac{x ^{2}}{x - 6})

(dy)/(dx)+y^5x=-6y

\frac{d y}{d x} + y^{5} x = - 6 y

y^{''}+4y^'+29y=0

y^{^{''}} + 4 y^{^{'}} + 29 y = 0