Anyone help with this differential equation

In summary, the conversation is discussing the possibility of an answer being the exponential of an exponential in the form of y(x) = e^(e^2x(x/3*(sin(3x)+1/9cos(3x)+c). There is uncertainty as to whether this is a valid solution, and the suggestion is made to plug it into the original equation or use a mathematical tool such as WolframAlpha to check its validity. The conversation also advises against using thumbnails and suggests typing out the problem instead.
  • #1
sozener1
19
0
from the attached file I get something like the answer as y(x) = e^(e^2x(x/3*(sin(3x)+1/9cos(3x)+c)
Im not sure if this is right can you have an answer exponetial of an exponential??
 

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  • #2
sozener1 said:
can you have an answer exponetial of an exponential??
Sure, why not?
You can plug your solution into the original equation to check it. Or you can use WolframAlpha/Mathematica/... to do that.
 
  • #3
sozener1 said:
from the attached file I get something like the answer as y(x) = e^(e^2x(x/3*(sin(3x)+1/9cos(3x)+c)
Im not sure if this is right can you have an answer exponetial of an exponential??

I cannot read your thumbnail. Just type out the problem and avoid thumbnails altogether.
 

FAQ: Anyone help with this differential equation

What is a differential equation?

A differential equation is a mathematical equation that relates a function with its derivatives. It is commonly used in fields such as physics, engineering, and economics to model relationships between variables.

What is the purpose of solving a differential equation?

The purpose of solving a differential equation is to find the function that satisfies the given equation. This allows us to understand the behavior of a system or model and make predictions about its future behavior.

How do you solve a differential equation?

There are various methods for solving differential equations, including separation of variables, substitution, and using specific formulas. The appropriate method depends on the type and complexity of the equation.

What are the applications of differential equations?

Differential equations have many applications in science and engineering, such as modeling population growth, predicting weather patterns, and analyzing electrical circuits. They are also used in economics, biology, and other fields to study complex systems.

Is there a standard way to write a differential equation?

Yes, there is a standard notation for writing differential equations, which includes the dependent variable, its derivatives, and any independent variables. However, the specific form of a differential equation may vary depending on the context and application.

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