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Beliebt Rechnen >

(d^2y)/(dx^2)+6(dy)/(dx)+25y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + 6 \frac{d y}{d x} + 25 y = 0

Lösung

y = e^{- 3 x} (c_{1} cos (4 x) + c_{2} sin (4 x))

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 6 \frac{d y}{d x} + 25 y = 0

Solve linear ODE:

y = e^{- 3 x} (c_{1} cos (4 x) + c_{2} sin (4 x))

y = e^{- 3 x} (c_{1} cos (4 x) + c_{2} sin (4 x))

Graph

Beliebte Beispiele

linear y^{''}+k^2y=0

l in e a r y^{^{''}} + k^{2} y = 0

y^{''}-17y^'+72y=0

y^{^{''}} - 17 y^{^{'}} + 72 y = 0

y^{''}-6y^'+9y=0,y(0)=1,y^'(0)=2

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y (0) = 1, y^{^{'}} (0) = 2

y^{^{'''}} = y^{^{'}}

9y^{''}-12y^'+4y=0,y(0)=1,y^'(0)= 4/3

9 y^{^{''}} - 12 y^{^{'}} + 4 y = 0, y (0) = 1, y^{^{'}} (0) = \frac{4}{3}