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How do you solve a Differential equation for beginners

  • Thread starter janemba
  • Start date
39
0
how do you solve a Differential equation ?

for example how do you solve this




d/dt y(t)=t^2 y(t)

step by step help would be appreciated where + w2x = 0 is suppose to be in between d^x and dt^
 
Last edited:

Answers and Replies

What are [ U] and [ /U] tags ?

Use [ tex] and [ /tex] for latex. The equation is not visible.
 
rock.freak667
Homework Helper
6,230
31
What you want to solve is
[tex]\frac{dy}{dt}=t^2y[/tex]
You can rearrange this into
[tex]\frac{1}{y}\frac{dy}{dt}=t^2[/tex]
You can now integrate both sides with respect to t.
 
39
0
how do you integrate it ? please tell me how
 
rock.freak667
Homework Helper
6,230
31
[tex]\int \frac{1}{y}\frac{dy}{dt} dt= \int t^2 dt[/tex]

and this is the same as:

[tex]\int \frac{1}{y}dy= \int t^2 dt[/tex]

Can you integrate this now?
 
458
0
[tex]\int \frac{1}{y}dy = \int t^2dt[/tex]

And carry on from there.

Whoops, someone beat me.
 
39
0
what are the rules of integrating
 
458
0
You can look up integration rules on the internet. Integrating is undoing the derivative, ie. finding the antiderivative.
 
39
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wheres the best site to learn it from ? where did you learn it from
 
458
0
I learned it through a high school calculus course. If you don't know how to integrate, I suggest you ask your professor/teacher.
 

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