(9x^2+y-1)dx-(14y-x)dy=0,y(1)=0

Lösung

(9 x^{2} + y - 1) d x - (14 y - x) d y = 0, y (1) = 0

y = - \frac{- x + x ^{2} + 28 ( 3 x ^{3} - x - c _{1} )}{14}, y = - \frac{- x - x ^{2} + 28 ( 3 x ^{3} - x - c _{1} )}{14}

Schritte zur Lösung

(9 x^{2} + y - 1) d x - (14 y - x) d y = 0

Solve exact ODE:

y = - \frac{- x + x ^{2} + 28 ( 3 x ^{3} - x - c _{1} )}{14}, y = - \frac{- x - x ^{2} + 28 ( 3 x ^{3} - x - c _{1} )}{14}

y = - \frac{- x + x ^{2} + 28 ( 3 x ^{3} - x - c _{1} )}{14}, y = - \frac{- x - x ^{2} + 28 ( 3 x ^{3} - x - c _{1} )}{14}

\int_{0}^{1} (x + 1 - x^{2}) d x

\int 1 0^{x} (2^{- x} + 5^{- x}) d x

\frac{d}{d x} (A x^{2} e^{2 x})

\int e^{x} - x^{\frac{2}{5}} d x

in v erse l a pl a ce \frac{3}{2 s + 1} \cdot \frac{1}{s}