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受欢迎的代数 >

solvefor x,ln(y)-1/(y^2)=(x^2)/2+c

解答

求解

x, ln (y) - \frac{1}{y ^{2}} = \frac{x ^{2}}{2} + c

解答

x = \frac{2 y ^{2} ln ( y ) - 2 - 2 c y ^{2}}{y}, x = - \frac{2 y ^{2} ln ( y ) - 2 - 2 c y ^{2}}{y}

求解步骤

ln (y) - \frac{1}{y ^{2}} = \frac{x ^{2}}{2} + c

交换两边

\frac{x ^{2}}{2} + c = ln (y) - \frac{1}{y ^{2}}

将

c

到右边

\frac{x ^{2}}{2} = ln (y) - \frac{1}{y ^{2}} - c

在两边乘以

2

x^{2} = 2 ln (y) - \frac{2}{y ^{2}} - 2 c

对于

x^{2} = f (a)

解为

x = f (a), - f (a)

x = 2 ln (y) - \frac{2}{y ^{2}} - 2 c, x = - 2 ln (y) - \frac{2}{y ^{2}} - 2 c

化简

2 ln (y) - \frac{2}{y ^{2}} - 2 c : \frac{2 y ^{2} ln ( y ) - 2 - 2 c y ^{2}}{y}

化简

- 2 ln (y) - \frac{2}{y ^{2}} - 2 c : - \frac{2 y ^{2} ln ( y ) - 2 - 2 c y ^{2}}{y}

x = \frac{2 y ^{2} ln ( y ) - 2 - 2 c y ^{2}}{y}, x = - \frac{2 y ^{2} ln ( y ) - 2 - 2 c y ^{2}}{y}

作图

流行的例子

solvefor x,x^2-y^2+2x+2y=0

so l v e f or x, x^{2} - y^{2} + 2 x + 2 y = 0

308=(x^2-154)0.77

308 = (x^{2} - 154) 0.77

solvefor x,p^3-p(x^2+xy+y^2)+x^2y+xy^2=0

so l v e f or x, p^{3} - p (x^{2} + x y + y^{2}) + x^{2} y + x y^{2} = 0

6 k = k^{2}

x^{2} = a^{2} + b^{2}