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Beliebt Rechnen >

(dy)/(dx)y=ln(7)x^2

Lösung

\frac{d y}{d x} y = ln (7) x^{2}

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} y = ln (7) x^{2}

Solve separable ODE:

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

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

Beliebte Beispiele

(dy)/(dx)=(x-5)e^{-2y},y(2)=ln(5)

\frac{d y}{d x} = (x - 5) e^{- 2 y}, y (2) = ln (5)

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

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

(dy)/(dx)+4y=3,y(0)=0

\frac{d y}{d x} + 4 y = 3, y (0) = 0

(dy)/(dx)=(x(y-4)+y-4)/(x(y-6)-3(y-6))

\frac{d y}{d x} = \frac{x ( y - 4 ) + y - 4}{x ( y - 6 ) - 3 ( y - 6 )}

(dy)/(dx)=y^2+4y+5

\frac{d y}{d x} = y^{2} + 4 y + 5