Thursday

October 23, 2014

October 23, 2014

Posted by **grace** on Thursday, March 24, 2011 at 6:31pm.

dy/dx = 2(e^x-e^-x)/y^2(e^x+e^-x)^4

- maths -
**MathMate**, Friday, March 25, 2011 at 10:06pmThe equation is separable.

After inserting missing parentheses, the equation reads:

dy/dx = 2(e^x-e^-x)/[y^2(e^x+e^-x)^4 ]

which can be separated to give:

y^2 dy = 2(e^x-e^-x)/(e^x+e^-x)^4 dx

Note that on the right hand side, the numberator is the derivative of the one term of the denominator, which makes for a convenient substitution.

Integrate both sides:

y^3/3 = -2/[3(e^x+e^-x)^3]+C

What's left is to do the algebraic manipulations to yield an explicit form.

**Answer this Question**

**Related Questions**

calculus differential equation - Find in implicit form the general solution of ...

calculus differential equation - Find in implicit form the general solution of ...

Maths - Hi I am really sorry I now people have already attempted to help me with...

math - find general solution in implicit form of differential equation dy/dx= 2(...

mathematics - find the general solution to the following differential equation ...

calculus - Sorry to post this again, but I am still unable to understand it and ...

calculus-differential equation - Consider the differential equation: (du/dt)=-u^...

calculus - Please help. How do I seperate the variables in the following ...

Calculus - Using 3(x-3)(x^2-6x+23)^1/2, as the chain rule differentiation of f(x...

maths - find the general solution of the following first order differential ...