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Beliebt Rechnen >

y^'-x/(5y^4)=0,y(0)=2,y(2)=a

Lösung

y^{^{'}} - \frac{x}{5 y ^{4}} = 0, y (0) = 2, y (2) = a

Lösung

y = 5 \frac{x ^{2}}{2} + 32

Schritte zur Lösung

y^{'} (x) - \frac{x}{5 y ^{4}} = 0

Solve separable ODE:

y = 5 \frac{x ^{2}}{2} + 32

y = 5 \frac{x ^{2}}{2} + 32

Graph

Beliebte Beispiele

(dy)/(dx)=sqrt(y^2-25)

\frac{d y}{d x} = y^{2} - 25

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

(1 + x^{2}) d y - 1 - y^{2} d x = 0

(dy)/(dx)=14xsec(y)

\frac{d y}{d x} = 14 x sec (y)

y^'=-(x-3)/(36y-108),y(3)=4

y^{^{'}} = - \frac{x - 3}{36 y - 108}, y (3) = 4

(dS)/(dt)=0.04-S/((1140))

\frac{d S}{d t} = 0.04 - \frac{S}{( 1140 )}