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Beliebt Rechnen >

y^{''}+y^'-6y=0,y(0)=1

Lösung

y^{^{''}} + y^{^{'}} - 6 y = 0, y (0) = 1

Lösung

y = (1 - c_{2}) e^{2 t} + c_{2} e^{- 3 t}

Schritte zur Lösung

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

Solve linear ODE:

y = (1 - c_{2}) e^{2 t} + c_{2} e^{- 3 t}

y = (1 - c_{2}) e^{2 t} + c_{2} e^{- 3 t}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(4x(x^2+y^2)-4x)

\frac{\partial}{\partial x} (4 x (x^{2} + y^{2}) - 4 x)

limit as t approaches 1 of sin(3pit)

t \to 1 lim (sin (3 π t))

tangent y=x^2-7,(-5,18)

t an g e n t y = x^{2} - 7, (- 5, 18)

y^'=(2x+sec^2(x))/(2y)

y^{^{'}} = \frac{2 x + sec ^{2} ( x )}{2 y}

derivative x^2sin(3x)

d er i v a t i v e x^{2} sin (3 x)