(3x^2)dx-(5y^4)dy=0

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Solution for (3x^2)dx-(5y^4)dy=0 equation:


Simplifying
(3x2) * dx + -1(5y4) * dy = 0

Remove parenthesis around (3x2)
3x2 * dx + -1(5y4) * dy = 0

Multiply x2 * dx
3dx3 + -1(5y4) * dy = 0

Remove parenthesis around (5y4)
3dx3 + -1 * 5y4 * dy = 0

Multiply -1 * 5
3dx3 + -5y4 * dy = 0

Multiply y4 * dy
3dx3 + -5dy5 = 0

Solving
3dx3 + -5dy5 = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), 'd'.
d(3x3 + -5y5) = 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 '(3x3 + -5y5)' equal to zero and attempt to solve: Simplifying 3x3 + -5y5 = 0 Solving 3x3 + -5y5 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x3' to each side of the equation. 3x3 + -3x3 + -5y5 = 0 + -3x3 Combine like terms: 3x3 + -3x3 = 0 0 + -5y5 = 0 + -3x3 -5y5 = 0 + -3x3 Remove the zero: -5y5 = -3x3 Add '5y5' to each side of the equation. -5y5 + 5y5 = -3x3 + 5y5 Combine like terms: -5y5 + 5y5 = 0 0 = -3x3 + 5y5 Simplifying 0 = -3x3 + 5y5 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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