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Beliebt Rechnen >

6y^{''}+y^'-y=0

Lösung

6 y^{^{''}} + y^{^{'}} - y = 0

Lösung

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- \frac{t}{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- \frac{t}{2}}

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- \frac{t}{2}}

Graph

Beliebte Beispiele

integral from 0 to pi/3 of cos^3(x)

\int_{0}^{\frac{π}{3}} cos^{3} (x) d x

(xy^2+x^3)dx+(y^3+x^2y)dy=0

(x y^{2} + x^{3}) d x + (y^{3} + x^{2} y) d y = 0

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

\int \frac{1}{x ^{2} + 2 x} d x

integral of (4-3sin(2x))^4cos(2x)

\int (4 - 3 sin (2 x))^{4} cos (2 x) d x

2 y y^{^{'}} + 2 = y^{2} + 2 x