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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

3 y^{'} (t) + y = 6 t

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

derivative of sqrt(6x+5)

\frac{d}{d x} (6 x + 5)

\frac{d y}{d x} = 4 x^{3}

tangent f(x)=-5cos(x),\at x= pi/2

t an g e n t f (x) = - 5 cos (x), at x = \frac{π}{2}

integral of 3/x+2/(x^2)

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

(dy)/(dx)=((x-1))/((y-4))

\frac{d y}{d x} = \frac{( x - 1 )}{( y - 4 )}