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Beliebt Rechnen >

(dy)/(dx)=6x^6sqrt(y)

Lösung

\frac{d y}{d x} = 6 x^{6} y

Lösung

y = \frac{9 x ^{14}}{49} + \frac{3 c _{1} x ^{7}}{7} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d y}{d x} = 6 x^{6} y

Solve separable ODE:

y = \frac{9 x ^{14}}{49} + \frac{3 c _{1} x ^{7}}{7} + \frac{c _{1}^{2}}{4}

y = \frac{9 x ^{14}}{49} + \frac{3 c _{1} x ^{7}}{7} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

y^'=e^{3x+2y},y(0)=0

y^{^{'}} = e^{3 x + 2 y}, y (0) = 0

(dy)/(dx)=4e^{x-y},y(0)=ln(7)

\frac{d y}{d x} = 4 e^{x - y}, y (0) = ln (7)

(dy)/(dx)=-6/4 x^5y^6

\frac{d y}{d x} = - \frac{6}{4} x^{5} y^{6}

a x^{^{'}} + b x = 0

(x^2+x-6)y+(x+3)y^'+(x-2)y=0

(x^{2} + x - 6) y + (x + 3) y^{^{'}} + (x - 2) y = 0