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

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 Related Calculus and Beyond Homework Help News on Phys.org
BvU
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Hi John, You really want to
• post in the homework forum
• use the template
I hope this reaches you before the mentors lash out: What's the difference between your solution and the given / book solution ?

mfb
Mentor
I moved the thread to our homework section.

Check your integration of 2x e2x, for example by calculating the derivative of what you used as integral.

Mark44
Mentor
dy/dx = xe^(y-2x) , i am asked to form differential equation using this equation .
The equation you wrote already is a differential equation.
john augustine said:
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.