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Beliebt Rechnen >

4y^{''}+6y^'+7y=0

Lösung

4 y^{^{''}} + 6 y^{^{'}} + 7 y = 0

Lösung

y = e^{- \frac{3 t}{4}} (c_{1} cos (\frac{19 t}{4}) + c_{2} sin (\frac{19 t}{4}))

Schritte zur Lösung

4 y^{''} (t) + 6 y^{'} (t) + 7 y = 0

Solve linear ODE:

y = e^{- \frac{3 t}{4}} (c_{1} cos (\frac{19 t}{4}) + c_{2} sin (\frac{19 t}{4}))

y = e^{- \frac{3 t}{4}} (c_{1} cos (\frac{19 t}{4}) + c_{2} sin (\frac{19 t}{4}))

Graph

Beliebte Beispiele

derivative of sin(e^{2xy}+e^{sin(2xy)})

\frac{d}{d x} (sin (e^{2 x y}) + e^{s i n (2 x y)})

tangent y=sqrt(4x+33),(4,7)

t an g e n t y = 4 x + 33, (4, 7)

integral of (2x)^{1/2}

\int (2 x)^{\frac{1}{2}} d x

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

\int x^{2} 1 + (2 x)^{2} d x

integral of 1/(cot(3x))

\int \frac{1}{cot ( 3 x )} d x