Solving a linear first order differential equation.

Please help me solve this equation. I worked it out but am not sure of my answer or if I can simplify it. I used the four step method of solving a linear first order equation, so if you could solve it in the same manner, it would be appreciated. Thank you.

(t+1)ds/dt +2s=3(t+1) + 1/(t+1)^2

Solution Summary

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

... Three differential equations problems are solved in complete step-by-step ... a) Find the complementary solution of (1) by solving L[ y ] = 0 . b) Solve (1) by ...

... V0 is the velocity at time t=0. a. What is the order of this ... Is it linear or non-linear? b. Find the general solution of the equation in the case where a=0, ...

... This is the same differential equation we solved in question 2 ... C = 1 yields the nontrivial solution (π , 0 ... Question 9: (1 points) Solve the following equation. ...

... =-5, We'll need to solve: ...Solving this system of equations gives: C1=1/12 and C2=-1 ... The solution provides very detailed theory for developing governing ...

... done to determine when a PDE can be solved, when the ...Linear equations are not too difficult to solve. ... a lot more difficult, and sometimes the solution doesn't ...

... This is a linear ODE with integrating factor. ... whence C = -2 Ei(1) and the solution to the ... We solve various types of first order ordinary differential equations. ...

...order differential equations, partial DE's and linear functions are ... uses separation of variables to solve the verhulst ... We guess a solution in the form: ...

... The solution solves several first order ordinary differential equations... To solve this differential equation, we first divide ... Thus we have the general solution. ...

... It also shows how to solve the differential equations... t + 80 First we solve 1 y '+ y=0 t + 80 dy y =− t ... ln d d y= t + 80 u (t ) Then the solution to equation...

...Solve Problem 19 assuming that pure water is pumped into ... homogenous linear equation that can be solved using an ... Thus the general solution for the charge on the ...