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人気のある微分積分 >

(9x^2+y-1)dx-(4y-x)dy=0

解

(9 x^{2} + y - 1) d x - (4 y - x) d y = 0

解

y = - \frac{- x + x ^{2} + 8 ( 3 x ^{3} - x - c _{1} )}{4}, y = - \frac{- x - x ^{2} + 8 ( 3 x ^{3} - x - c _{1} )}{4}

解答ステップ

(9 x^{2} + y - 1) d x - (4 y - x) d y = 0

完全 ODE を解く:

y = - \frac{- x + x ^{2} + 8 ( 3 x ^{3} - x - c _{1} )}{4}, y = - \frac{- x - x ^{2} + 8 ( 3 x ^{3} - x - c _{1} )}{4}

y = - \frac{- x + x ^{2} + 8 ( 3 x ^{3} - x - c _{1} )}{4}, y = - \frac{- x - x ^{2} + 8 ( 3 x ^{3} - x - c _{1} )}{4}

グラフ

人気の例

(\partial)/(\partial x)(1+ln(x)+y/x)

\frac{\partial}{\partial x} (1 + ln (x) + \frac{y}{x})

limit as x approaches infinity of (ln(x))/(\sqrt[3]{x)}

x \to \infty lim (\frac{ln ( x )}{3 x})

マクローリン 1/(x-1)

ma c l a u r in \frac{1}{x - 1}

(\partial)/(\partial x)(x^4+y^4-4x+1y)

\frac{\partial}{\partial x} (x^{4} + y^{4} - 4 x + 1 y)

tangent f(x)=5x^{1/2}+x^{3/2},\at x=4

t an g e n t f (x) = 5 x^{\frac{1}{2}} + x^{\frac{3}{2}}, at x = 4