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Beliebt Rechnen >

(d^2y)/(dx^2)-12(dy)/(dx)+52y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - 12 \frac{d y}{d x} + 52 y = 0

Lösung

y = e^{6 x} (c_{1} cos (4 x) + c_{2} sin (4 x))

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 12 \frac{d y}{d x} + 52 y = 0

Solve linear ODE:

y = e^{6 x} (c_{1} cos (4 x) + c_{2} sin (4 x))

y = e^{6 x} (c_{1} cos (4 x) + c_{2} sin (4 x))

Graph

Beliebte Beispiele

y^{''}-3y^'+(2.25+a)y=0,y(0)=0

y^{^{''}} - 3 y^{^{'}} + (2.25 + a) y = 0, y (0) = 0

y^{''}-18y^'+81y=0,y(0)=0,y^'(0)=6

y^{^{''}} - 18 y^{^{'}} + 81 y = 0, y (0) = 0, y^{^{'}} (0) = 6

2y^{''}+1000y^'+2000000y=0

2 y^{^{''}} + 1000 y^{^{'}} + 2000000 y = 0

y^{''}+ay=0,y(0)=b,y^'(0)=0

y^{^{''}} + a y = 0, y (0) = b, y^{^{'}} (0) = 0

9 y^{^{''}} - 8 y = 0