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Beliebt Rechnen >

(dy)/(dx)+y/(50)=4,y(0)=30

Lösung

\frac{d y}{d x} + \frac{y}{50} = 4, y (0) = 30

Lösung

y = - 170 e^{- \frac{x}{50}} + 200

Schritte zur Lösung

\frac{d y}{d x} + \frac{y}{50} = 4

Solve separable ODE:

y = - 170 e^{- \frac{x}{50}} + 200

y = - 170 e^{- \frac{x}{50}} + 200

Graph

Beliebte Beispiele

(dV)/(dt)=80-8/100 V

\frac{d V}{d t} = 80 - \frac{8}{100} V

(dx)/(dy)y=x^2+2x

\frac{d x}{d y} y = x^{2} + 2 x

h^'=-0.02215*h^{1/2}

h^{^{'}} = - 0.02215 \cdot h^{\frac{1}{2}}

y^'=((x^3sqrt(x^4-1)))/(y^3)

y^{^{'}} = \frac{( x ^{3} x ^{4} - 1 )}{y ^{3}}

y^{^{'}} + 7 \frac{y}{x} = 0