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Beliebt Rechnen >

(sqrt(x)+x)((dy)/(dx))=sqrt(y)+y

Lösung

(x + x) (\frac{d y}{d x}) = y + y

Lösung

y = 2 e^{c_{1}} x + e^{c_{1}} x - 2 e^{\frac{c _{1}}{2}} x + e^{c_{1}} - 2 e^{\frac{c _{1}}{2}} + 1

Schritte zur Lösung

(x + x) (\frac{d y}{d x}) = y + y

Solve separable ODE:

y = 2 e^{c_{1}} x + e^{c_{1}} x - 2 e^{\frac{c _{1}}{2}} x + e^{c_{1}} - 2 e^{\frac{c _{1}}{2}} + 1

y = 2 e^{c_{1}} x + e^{c_{1}} x - 2 e^{\frac{c _{1}}{2}} x + e^{c_{1}} - 2 e^{\frac{c _{1}}{2}} + 1

Graph

Beliebte Beispiele

tangent f(x)=cos(x),\at (0)

t an g e n t f (x) = cos (x), at (0)

derivative y=((2x+1)(x^3+3))/x

d er i v a t i v e y = \frac{( 2 x + 1 ) ( x ^{3} + 3 )}{x}

tangent 4x^2-2x+3

t an g e n t 4 x^{2} - 2 x + 3

integral from 0 to pi of sin(x)+cos(2x)

\int_{0}^{π} sin (x) + cos (2 x) d x

y^'+4/5 y=1-1/4 t,y(0)=0

y^{^{'}} + \frac{4}{5} y = 1 - \frac{1}{4} t, y (0) = 0