Mathematics · Partial Differential Equations
Which of the following is a solution to the partial differential equation u x + x 2 u y = 0 with the initial condition u(x, 0) = e x ?
- 1(x 2 y + 1)e x
- 2e (x 3 -3y) 1/3✓
- 3e (x 3 +y) 1/3
- 4e x
Correct answer
e (x 3 -3y) 1/3
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