(dy)/(dx)=(((2y+7))/((8x+9)))^2

Lösung

\frac{d y}{d x} = (\frac{( 2 y + 7 )}{( 8 x + 9 )})^{2}

y = - \frac{16 x}{- 1 + 64 c _{1} x + 72 c _{1}} - \frac{224 c _{1} x}{- 1 + 64 c _{1} x + 72 c _{1}} - \frac{252 c _{1}}{- 1 + 64 c _{1} x + 72 c _{1}} - \frac{29}{2 ( - 1 + 64 c _{1} x + 72 c _{1} )}

Schritte zur Lösung

\frac{d y}{d x} = (\frac{( 2 y + 7 )}{( 8 x + 9 )})^{2}

Solve separable ODE:

y = - \frac{16 x}{- 1 + 64 c _{1} x + 72 c _{1}} - \frac{224 c _{1} x}{- 1 + 64 c _{1} x + 72 c _{1}} - \frac{252 c _{1}}{- 1 + 64 c _{1} x + 72 c _{1}} - \frac{29}{2 ( - 1 + 64 c _{1} x + 72 c _{1} )}

y = - \frac{16 x}{- 1 + 64 c _{1} x + 72 c _{1}} - \frac{224 c _{1} x}{- 1 + 64 c _{1} x + 72 c _{1}} - \frac{252 c _{1}}{- 1 + 64 c _{1} x + 72 c _{1}} - \frac{29}{2 ( - 1 + 64 c _{1} x + 72 c _{1} )}

in v erse l a pl a ce \frac{s ( s + 2 )}{( s + 1 ) ^{2}}

\int \frac{1}{e ^{y} sin ^{2} ( e ^{- y} )} d y

d er i v a t i v e f (x) = \frac{1}{x ^{7} + 2}

\int (x^{6}) d x

t y^{^{'}} = 3 y + t^{4} sin (4 t), y (\frac{π}{4}) = 0