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Beliebt Rechnen >

yln(x) d/(dy)(x)=((y+1)/x)^2,y=5,x=4

Lösung

y ln (x) \frac{d}{d y} (x) = (\frac{y + 1}{x})^{2}, y = 5, x = 4

Lösung

\frac{9}{4}

+1

Dezimale

2.25

Schritte zur Lösung

Finde

(\frac{y + 1}{x})^{2}

gegeben

y = 5, x = 4

\frac{y + 1}{x} : \frac{5 + 1}{4}

= (\frac{5 + 1}{4})^{2}

Multipliziere aus

(\frac{5 + 1}{4})^{2} : \frac{9}{4}

= \frac{9}{4}

Beliebte Beispiele

y^'= 1/2 xsqrt(1-16y^2),y(0)=0

y^{^{'}} = \frac{1}{2} x 1 - 16 y^{2}, y (0) = 0

y^'=4y^{-2}(x^6+x^4+x^2),y(0)=0

y^{^{'}} = 4 y^{- 2} (x^{6} + x^{4} + x^{2}), y (0) = 0

(dy)/(dx)=-x^5y^2

\frac{d y}{d x} = - x^{5} y^{2}

(dP)/(dt)=7sqrt(Pt),P(1)=2

\frac{d P}{d t} = 7 Pt, P (1) = 2

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

(1 + y^{2}) d x = (x + x^{2}) d y