How do you find the general solution to dy/dx=2xe^(2y)?

gravplasszo

gravplasszo

Answered question

2022-09-22

How do you find the general solution to d y d x = 2 x e 2 y ?

Answer & Explanation

Lilia Horton

Lilia Horton

Beginner2022-09-23Added 6 answers

this is separable
e 2 y d y d x = 2 x
  e 2 y d y d x   d x =   2 x   d x
1 2 e 2 y = x 2 + C
e 2 y = 2 x 2 + C
2 y = ln ( 2 x 2 + C )
y = 1 2 ln ( 2 x 2 + C )

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