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Beliebt Rechnen >

t^2y^{''}+7ty^'+9y=0

Lösung

t^{2} y^{^{''}} + 7 t y^{^{'}} + 9 y = 0

Lösung

y = \frac{c _{1}}{t ^{3}} + \frac{c _{2} ln ( t )}{t ^{3}}

Schritte zur Lösung

t^{2} y^{''} (t) + 7 t y^{'} (t) + 9 y = 0

Solve linear ODE:

y = \frac{c _{1}}{t ^{3}} + \frac{c _{2} ln ( t )}{t ^{3}}

y = \frac{c _{1}}{t ^{3}} + \frac{c _{2} ln ( t )}{t ^{3}}

Graph

Beliebte Beispiele

integral of (x^5)/((x^3+1)^2)

\int \frac{x ^{5}}{( x ^{3} + 1 ) ^{2}} d x

limit as x approaches 1 of cos(pi/2 x)

x \to 1 lim (cos (\frac{π}{2} x))

derivative of (x-5^{2/3})

\frac{d}{d x} ((x - 5)^{\frac{2}{3}})

derivative of arcsin(-3x)

\frac{d}{d x} (arcsin (- 3 x))

y^{''}=-4y-4y^'

y^{^{''}} = - 4 y - 4 y^{^{'}}