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Beliebt Rechnen >

(dy)/(dt)=e^{-y}(2t-4),y(2)=0

Lösung

\frac{d y}{d t} = e^{- y} (2 t - 4), y (2) = 0

Lösung

y = ln (t^{2} - 4 t + 5)

Schritte zur Lösung

\frac{d y}{d t} = e^{- y} (2 t - 4)

Solve separable ODE:

y = ln (t^{2} - 4 t + 5)

y = ln (t^{2} - 4 t + 5)

Graph

Beliebte Beispiele

(dh)/(dt)=1-0.5h

\frac{d h}{d t} = 1 - 0.5 h

((x^2-9))/x (dy)/(dx)+y=0,y(5)=1

\frac{( x ^{2} - 9 )}{x} \frac{d y}{d x} + y = 0, y (5) = 1

y^'+5xy= x/2-xy

y^{^{'}} + 5 x y = \frac{x}{2} - x y

\frac{d y}{d t} = 0.4 y

y^'=((e^{2x+y}))/y

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