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Beliebt Rechnen >

2xy(dy)/(dx)=6+14ln(x)

Lösung

2 x y \frac{d y}{d x} = 6 + 14 ln (x)

Lösung

y = \frac{( 3 + 7 ln ( x ) ) ^{2} + c _{1}}{7}, y = - \frac{( 3 + 7 ln ( x ) ) ^{2} + c _{1}}{7}

Schritte zur Lösung

2 x y \frac{d y}{d x} = 6 + 14 ln (x)

Solve separable ODE:

y = \frac{( 3 + 7 ln ( x ) ) ^{2} + c _{1}}{7}, y = - \frac{( 3 + 7 ln ( x ) ) ^{2} + c _{1}}{7}

y = \frac{( 3 + 7 ln ( x ) ) ^{2} + c _{1}}{7}, y = - \frac{( 3 + 7 ln ( x ) ) ^{2} + c _{1}}{7}

Graph

Beliebte Beispiele

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

(1 + x^{2}) \frac{d y}{d x} = sin (y)

ydx-xdy=y^3+y^2xdy

y d x - x d y = y^{3} + y^{2} x d y

derivative of 3y^2+2x^3-14=0

\frac{d}{d x} (3 y^{2}) + 2 x^{3} - 14 = 0

x^{^{'}} = x^{3}, x (0) = 1

1+t=2tx(dx)/(dt)

1 + t = 2 t x \frac{d x}{d t}