Tuesday

September 23, 2014

September 23, 2014

Posted by **xX_Supaman_Xx** on Friday, December 14, 2007 at 7:01pm.

dx/dt=-kx^2

i.e. solve for x as a function of t.

I've been told to rearrange the equation to yield

dx/x^2=-k dt

but what can and should I do now?

- maths -
**Damon**, Friday, December 14, 2007 at 7:20pmintegral of x^n dx = (1/(n+1)) x^(n+1) in general

integral of x^-2 dx = (1/-1) x^-1

which is( 1/x ) + constant of integration

the right side is -k t + constant of integration

1/x = -k t + c

x = 1/ (-kt+c)

undefined when kt = c

**Answer this Question**

**Related Questions**

Mathematics - Solve the following differential equation, i.e. solve for y: dy/dx...

Calculus - Solve the differential equation dy/dx = -xe^y and determine the ...

Math - The graph of the equation y=4-x consists of all the points in the ...

Maths - Please help me solve this differential equation: dy/dx-(1+1/x)y=y^2

Maths - Please help me solve this differential equation : x^3+ ¡¼(y+1)¡½^(2) dy/...

Chemistry - When working with the combined gas law you would use the following ...

Engineering Maths - please help solve this differential equation: x^3+(y+1)^2 dy...

university maths - solve the following differential equation: (x^2+xy)dy=(xy-y^2...

maths - Solve the following differential equation: (1 + x)*(dy/dx) = y where y ...

maths - Solve the following differential equation: (1 + x)*(dy/dx) = y where y ...