y^4-5y^2+4y=x^2+1+e^2x

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Solution for y^4-5y^2+4y=x^2+1+e^2x equation: 


Simplifying
y4 + -5y2 + 4y = x2 + 1 + e2x

Reorder the terms:
4y + -5y2 + y4 = x2 + 1 + e2x

Reorder the terms:
4y + -5y2 + y4 = 1 + e2x + x2

Solving
4y + -5y2 + y4 = 1 + e2x + x2

Solving for variable 'y'.

Reorder the terms:
-1 + -1e2x + -1x2 + 4y + -5y2 + y4 = 1 + e2x + x2 + -1 + -1e2x + -1x2

Reorder the terms:
-1 + -1e2x + -1x2 + 4y + -5y2 + y4 = 1 + -1 + e2x + -1e2x + x2 + -1x2

Combine like terms: 1 + -1 = 0
-1 + -1e2x + -1x2 + 4y + -5y2 + y4 = 0 + e2x + -1e2x + x2 + -1x2
-1 + -1e2x + -1x2 + 4y + -5y2 + y4 = e2x + -1e2x + x2 + -1x2

Combine like terms: e2x + -1e2x = 0
-1 + -1e2x + -1x2 + 4y + -5y2 + y4 = 0 + x2 + -1x2
-1 + -1e2x + -1x2 + 4y + -5y2 + y4 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + -1e2x + -1x2 + 4y + -5y2 + y4 = 0

The solution to this equation could not be determined.

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