Dy/dx = xe^(y-2x), form differntial eqaution

[john augustine]

dy/dx = xe^(y-2x) , i am asked to form differential equation using this equation . the ans given is (e^-y) = 0.5(e^-2x)(x+0.5) + a , how to get the answer? btw , i have attached my working

 

[BvU]

Hi John,

You really want to

• post in the homework forum
• use the template
• read and follow the guidelines

I hope this reaches you before the mentors lash out: What's the difference between your solution and the given / book solution ?

 

[mfb]

I moved the thread to our homework section.

Check your integration of 2x e^2x, for example by calculating the derivative of what you used as integral.

 

[Mark44]

dy/dx = xe^(y-2x) , i am asked to form differential equation using this equation .

The equation you wrote already is a differential equation.

the ans given is (e^-y) = 0.5(e^-2x)(x+0.5) +a

Based on the answer, the problem seems to be asking you to solve the differential equation.