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Beliebt Rechnen >

y^'=-0.02y+3,y(0)=0

Lösung

y^{^{'}} = - 0.02 y + 3, y (0) = 0

Lösung

y = 150 - \frac{150}{e ^{0.02 t}}

Schritte zur Lösung

y^{'} (t) = - 0.02 y + 3

Solve linear ODE:

y = 150 - \frac{150}{e ^{0.02 t}}

y = 150 - \frac{150}{e ^{0.02 t}}

Graph

Beliebte Beispiele

(dy)/(dx)=(xy^3)/((1+x^2)^{-1/2)},y=1

\frac{d y}{d x} = \frac{x y ^{3}}{( 1 + x ^{2} ) ^{- \frac{1}{2}}}, y = 1

(dy)/(dx)=sqrt(yx),y(1)=3

\frac{d y}{d x} = y x, y (1) = 3

2xy^3dx-(1+x^2)dy=0

2 x y^{3} d x - (1 + x^{2}) d y = 0

(dy)/(dx)=0.04-y/7

\frac{d y}{d x} = 0.04 - \frac{y}{7}

(dy)/(dx)+6x^2y=7x^2,y(0)=2

\frac{d y}{d x} + 6 x^{2} y = 7 x^{2}, y (0) = 2