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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

64y^{''}+48y^'+9y=0

64 y^{^{''}} + 48 y^{^{'}} + 9 y = 0

x^{''}+2x^'+2x=0,x(0)=1,x^'(0)=0

x^{^{''}} + 2 x^{^{'}} + 2 x = 0, x (0) = 1, x^{^{'}} (0) = 0

64 y^{^{''}} - 81 y = 0

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

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

y^{''}-6y^'+25y=0,y(0)=2,y^'(0)=2

y^{^{''}} - 6 y^{^{'}} + 25 y = 0, y (0) = 2, y^{^{'}} (0) = 2