(xcos(x))dx+(1-6y^5)dy=0

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Solution for (xcos(x))dx+(1-6y^5)dy=0 equation:


Simplifying
(xcos(x)) * dx + (1 + -6y5) * dy = 0

Multiply cosx * x
(cosx2) * dx + (1 + -6y5) * dy = 0

Multiply cosx2 * dx
cdosx3 + (1 + -6y5) * dy = 0

Reorder the terms for easier multiplication:
cdosx3 + dy(1 + -6y5) = 0
cdosx3 + (1 * dy + -6y5 * dy) = 0
cdosx3 + (1dy + -6dy6) = 0

Solving
cdosx3 + 1dy + -6dy6 = 0

Solving for variable 'c'.

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

Add '-1dy' to each side of the equation.
cdosx3 + 1dy + -1dy + -6dy6 = 0 + -1dy

Combine like terms: 1dy + -1dy = 0
cdosx3 + 0 + -6dy6 = 0 + -1dy
cdosx3 + -6dy6 = 0 + -1dy
Remove the zero:
cdosx3 + -6dy6 = -1dy

Add '6dy6' to each side of the equation.
cdosx3 + -6dy6 + 6dy6 = -1dy + 6dy6

Combine like terms: -6dy6 + 6dy6 = 0
cdosx3 + 0 = -1dy + 6dy6
cdosx3 = -1dy + 6dy6

Divide each side by 'dosx3'.
c = -1o-1s-1x-3y + 6o-1s-1x-3y6

Simplifying
c = -1o-1s-1x-3y + 6o-1s-1x-3y6

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