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Beliebt Rechnen >

(dy)/(dx)=6-y/(20)

Lösung

\frac{d y}{d x} = 6 - \frac{y}{20}

Lösung

y = - e^{\frac{- x - c _{1}}{20}} + 120

Schritte zur Lösung

\frac{d y}{d x} = 6 - \frac{y}{20}

Solve separable ODE:

y = - e^{\frac{- x - c _{1}}{20}} + 120

y = - e^{\frac{- x - c _{1}}{20}} + 120

Graph

Beliebte Beispiele

y^'+3y=1,3sin(2t)y(0)=6

y^{^{'}} + 3 y = 1, 3 sin (2 t) y (0) = 6

(dy)/(dx) 1/x+1/y =1

\frac{d y}{d x} \frac{1}{x} + \frac{1}{y} = 1

y^'=(x^2)/(-4y)

y^{^{'}} = \frac{x ^{2}}{- 4 y}

y^'=((3x^2-1))/((3+2y)),y(1)=1

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

derivative of sin(y)=x

\frac{d}{d x} (sin (y)) = x