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受欢迎的微积分 >

(y)dx-4(x+y^6)dy=0

解答

(y) d x - 4 (x + y^{6}) d y = 0

解答

y = c_{1}

求解步骤

(y) d x - 4 (x + y^{6}) d y = 0

令

y

为因变量。除以

d x

:

\frac{d y}{d x} - 4 (x + y^{6}) \frac{d y}{d x} = 0

用

y^{'} (x)

替代

\frac{d y}{d x}

y^{^{'}} (x) - 4 (x + y^{6}) y^{^{'}} (x) = 0

整理

y^{'} (x) : y^{'} (x) = 0

若

f^{^{'}} (x) = g (x)

则

f (x) = \int g (x) d x

y = \int 0 d x

\int 0 d x = c_{1}

y = c_{1}

作图

流行的例子

tangent f(x)=3-4x^2,(4,-61)

t an g e n t f (x) = 3 - 4 x^{2}, (4, - 61)

derivative 5cos(t)

d er i v a t i v e 5 cos (t)

derivative of 3e^xsin(x)

\frac{d}{d x} (3 e^{x} sin (x))

y^{''}+16y=-16sec^2(4x)

y^{^{''}} + 16 y = - 16 sec^{2} (4 x)

(\partial)/(\partial x)((c+1)/(c+x))

\frac{\partial}{\partial x} (\frac{c + 1}{c + x})