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Beliebt Rechnen >

sqrt(y)(dy)/(dx)= 4/5 sqrt(x)

Lösung

y \frac{d y}{d x} = \frac{4}{5} x

Lösung

y = 3 \frac{16 x ^{3}}{25} + \frac{12 c _{1} x ^{\frac{3}{2}}}{5} + \frac{9 c _{1}^{2}}{4}

Schritte zur Lösung

y \frac{d y}{d x} = \frac{4}{5} x

Solve separable ODE:

y = 3 \frac{16 x ^{3}}{25} + \frac{12 c _{1} x ^{\frac{3}{2}}}{5} + \frac{9 c _{1}^{2}}{4}

y = 3 \frac{16 x ^{3}}{25} + \frac{12 c _{1} x ^{\frac{3}{2}}}{5} + \frac{9 c _{1}^{2}}{4}

Graph

Beliebte Beispiele

tangent f(x)=4sec(x),\at x=(7pi)/6

t an g e n t f (x) = 4 sec (x), at x = \frac{7 π}{6}

integral of (2x^2)/(sqrt((x-1)^2+4))

\int \frac{2 x ^{2}}{( x - 1 ) ^{2} + 4} d x

tangent y=(x+2)(x-1)(x-3)

t an g e n t y = (x + 2) (x - 1) (x - 3)

integral of tsec^2(9t)

\int t sec^{2} (9 t) d t

derivative of-5x^2+10

\frac{d}{d x} (- 5 x^{2} + 10)