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Beliebt Rechnen >

(dy)/(dx)= y/x ,y(5)=20

Lösung

\frac{d y}{d x} = \frac{y}{x}, y (5) = 20

Lösung

y = 4 x

Schritte zur Lösung

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

Solve separable ODE:

y = 4 x

y = 4 x

Graph

Beliebte Beispiele

(dy)/(dx)=-3/7 x^6y^5

\frac{d y}{d x} = - \frac{3}{7} x^{6} y^{5}

y^'=(sin^5(x)cos^2(x))(y^2+1),y(0)=0

y^{^{'}} = (sin^{5} (x) cos^{2} (x)) (y^{2} + 1), y (0) = 0

3e^x*tan(y)dx+(2-e^x)sec^2(y)dy=0

3 e^{x} \cdot tan (y) d x + (2 - e^{x}) sec^{2} (y) d y = 0

\frac{d v}{d t} = 3 - 4 v

y^'=y(5-y)-25/4 ,y(0)=a

y^{^{'}} = y (5 - y) - \frac{25}{4}, y (0) = a