Solve Differential Equations with Ease - No More Struggles!

In summary, the conversation involved solving a problem in differential equations, where the mistake was not multiplying tan(x) with the -cos(x) term. The correct solution should include adding [tan x] to the equation. The conversation ends with gratitude for the help in solving the problem.
  • #1
deteam
24
0
Differential Equations PLEASE!

**problem solved**
 
Last edited:
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  • #2


It seems that you didn't multiply tan(x) with the -cos(x) term.
 
  • #3


nicksauce said:
It seems that you didn't multiply tan(x) with the -cos(x) term.

i turned tan(x) into sinx/cosx and canceled out the cosx, and was left with

-sin^2 x + cos^2 x + sinx + sin^2 x -cosx = cos^2 x

any ideas?
 
  • #4


Like I said, you wrote:

-sin^2 x + cos^2 x +sinx +[tan x] sinxcosx -cosx = cos^2x

When it should be:

-sin^2 x + cos^2 x +sinx +[tan x]( sinxcosx -cosx) = cos^2x
 
  • #5


nicksauce said:
Like I said, you wrote:

-sin^2 x + cos^2 x +sinx +[tan x] sinxcosx -cosx = cos^2x

When it should be:

-sin^2 x + cos^2 x +sinx +[tan x]( sinxcosx -cosx) = cos^2x

aww, such a simple mistake, thanks a lot :)
 

1. What is a differential equation?

A differential equation is an equation that describes the relationship between a function and its derivatives. It is used to model a wide range of phenomena in various fields such as physics, engineering, and economics.

2. Why is it important to solve differential equations?

Solving differential equations allows us to understand and predict the behavior of dynamic systems and processes. It is also essential in developing mathematical models that can be used to make informed decisions in various fields.

3. What are the different methods for solving differential equations?

There are various methods for solving differential equations, including separation of variables, substitution, integrating factors, and using power series. The choice of method depends on the type of differential equation and its complexity.

4. Can differential equations be solved by hand or do I need a computer?

Simple differential equations can be solved by hand using various methods, but as the equations become more complex, it may be necessary to use a computer to solve them accurately and efficiently.

5. How can I improve my ability to solve differential equations?

Practice is key to improving your ability to solve differential equations. You can also take online courses, read textbooks, and seek help from a tutor or mentor. It is also important to have a solid understanding of calculus and algebra.

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