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Beliebt Rechnen >

(dy)/(dx)=7xsqrt(y),y\ne 0

Lösung

\frac{d y}{d x} = 7 x y, y \neq = 0

Lösung

y = \frac{49 x ^{4}}{16} + \frac{7 c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

Schritte zur Lösung

\frac{d y}{d x} = 7 x y

Solve separable ODE:

y = \frac{49 x ^{4}}{16} + \frac{7 c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

y = \frac{49 x ^{4}}{16} + \frac{7 c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

Graph

Beliebte Beispiele

(dy)/(dx)+x/y =0,y=sqrt(1-x^2)

\frac{d y}{d x} + \frac{x}{y} = 0, y = 1 - x^{2}

(dx)/(dt)=14-42/100 x

\frac{d x}{d t} = 14 - \frac{42}{100} x

y^{^{'}} = k y^{2}

yy^'=(y^2-9)/(x^2+4)

y y^{^{'}} = \frac{y ^{2} - 9}{x ^{2} + 4}

y(dy)/(dx)=3x(y^2+5)^5

y \frac{d y}{d x} = 3 x (y^{2} + 5)^{5}