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Beliebt Rechnen >

y^'=sqrt((x+3)/(y+8))

Lösung

y^{^{'}} = \frac{x + 3}{y + 8}

Lösung

y = 3 \frac{4 x ^{3} + 36 x ^{2} + 108 x + 108 + 12 c _{1} ( x + 3 ) ^{\frac{3}{2}} + 9 c _{1}^{2}}{4} - 8

Schritte zur Lösung

y^{'} (x) = \frac{x + 3}{y + 8}

Solve separable ODE:

y = 3 \frac{4 x ^{3} + 36 x ^{2} + 108 x + 108 + 12 c _{1} ( x + 3 ) ^{\frac{3}{2}} + 9 c _{1}^{2}}{4} - 8

y = 3 \frac{4 x ^{3} + 36 x ^{2} + 108 x + 108 + 12 c _{1} ( x + 3 ) ^{\frac{3}{2}} + 9 c _{1}^{2}}{4} - 8

Graph

Beliebte Beispiele

derivative f(x)=x^2-9x+118

d er i v a t i v e f (x) = x^{2} - 9 x + 118

derivative of x^{(-1/2}sin(x))

\frac{d}{d x} (x^{\frac{- 1}{2}} sin (x))

integral of 3(3x+2)

\int 3 (3 x + 2) d x

integral of 1/((1-2x))

\int \frac{1}{( 1 - 2 x )} d x

limit as x approaches 2pi-of xcsc(x)

x \to 2 π - lim (x csc (x))