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Beliebt Rechnen >

3y^{''}+3y^'-y=0

Lösung

3 y^{^{''}} + 3 y^{^{'}} - y = 0

Lösung

y = c_{1} e^{\frac{( - 3 + 21 ) t}{6}} + c_{2} e^{\frac{( - 3 - 21 ) t}{6}}

Schritte zur Lösung

3 y^{''} (t) + 3 y^{'} (t) - y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( - 3 + 21 ) t}{6}} + c_{2} e^{\frac{( - 3 - 21 ) t}{6}}

y = c_{1} e^{\frac{( - 3 + 21 ) t}{6}} + c_{2} e^{\frac{( - 3 - 21 ) t}{6}}

Graph

Beliebte Beispiele

tangent x^3y^2=xy^3+6,(2,1)

t an g e n t x^{3} y^{2} = x y^{3} + 6, (2, 1)

derivative y=5x+ln(3x)

d er i v a t i v e y = 5 x + ln (3 x)

f^{^{'}} (x) = 4 x + 2

integral of x^2x^2+3

\int x^{2} x^{2} + 3 d x

(\partial)/(\partial x)((5x)/((3+y)))

\frac{\partial}{\partial x} (\frac{5 x}{( 3 + y )})