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Beliebt Rechnen >

y^'=6y+2t-4,y(0)=3

Lösung

y^{^{'}} = 6 y + 2 t - 4, y (0) = 3

Lösung

y = - \frac{t}{3} + \frac{11}{18} + \frac{43}{18} e^{6 t}

Schritte zur Lösung

y^{'} (t) = 6 y + 2 t - 4

Solve linear ODE:

y = - \frac{t}{3} + \frac{11}{18} + \frac{43}{18} e^{6 t}

y = - \frac{t}{3} + \frac{11}{18} + \frac{43}{18} e^{6 t}

Graph

Beliebte Beispiele

integral from 0 to 1 of sqrt(1-x)

\int_{0}^{1} 1 - x d x

derivative of (2-x^{3/2})

\frac{d}{d x} ((2 - x)^{\frac{3}{2}})

(\partial)/(\partial x)(4x-8y^3)

\frac{\partial}{\partial x} (4 x - 8 y^{3})

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

tangent (x^2)/(x-4)

t an g e n t \frac{x ^{2}}{x - 4}