1. Consider the following differential equation:
(1-c/r)(dt/dl)2 - (1-c/r)-1(dr/dl)2 = 0
(a) Show that this equation can be written as
dr/dt = (1-c/r)
(b) Solve the above equation for t(r). Please evaluate integrals by hand.

Take c to be a constant

Please see the attached file for the fully formatted problems.

A differential equation is integrated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

... 2) Integrate the differential equation. ... Solution-2. Let. Which is a linear differential equation of order 1. Which integrating factor is. IF = =exp. Then v exp = ...

... An ordinary differential equation (ODE) is an equation that ... Their inclusion in the equation makes it possible for us to solve using integration. ...

... This is a linear differential equation with integrating factor µ ( x ) = e2 x . Thus we have. ... This is a linear differential equation with integrating factor. ...

... particle upon time t obeys the differential equation: dv/dt ... 2.1) Rewriting: (2.2) This is now a separate equation. ... When we integrate both sides we obtain (not ...

... at t=t_2 , y(t_2 )=0 (i2) These are the initial conditions for the differential equations (DE) we shall ... To solve equation (1) we can just integrate it over ...

Integrals, Differential Equations and Limits. ... Then find the integral of f using your knowledge of area formulas for rectangles, triangles and circles. ...