y*e^2dy=dx

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Solution for y*e^2dy=dx equation:


Simplifying
y * e2dy = dx

Multiply y * de2y
de2y2 = dx

Solving
de2y2 = dx

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-1dx' to each side of the equation.
de2y2 + -1dx = dx + -1dx

Combine like terms: dx + -1dx = 0
de2y2 + -1dx = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(e2y2 + -1x) = 0

Subproblem 1

Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0

Subproblem 2

Set the factor '(e2y2 + -1x)' equal to zero and attempt to solve: Simplifying e2y2 + -1x = 0 Solving e2y2 + -1x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1e2y2' to each side of the equation. e2y2 + -1e2y2 + -1x = 0 + -1e2y2 Combine like terms: e2y2 + -1e2y2 = 0 0 + -1x = 0 + -1e2y2 -1x = 0 + -1e2y2 Remove the zero: -1x = -1e2y2 Add 'x' to each side of the equation. -1x + x = -1e2y2 + x Combine like terms: -1x + x = 0 0 = -1e2y2 + x Simplifying 0 = -1e2y2 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

d = {0}

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