Question

(x^4 + y^4) dx - xy^3 dy = 0.​

Answer 1

Step-by-step explanation:

Reorder the terms for easier multiplication:

dx(x4 + y4) + -1(x * y3) * dy = 0

(x4 * dx + y4 * dx) + -1(x * y3) * dy = 0

Reorder the terms:

(dxy4 + dx5) + -1(x * y3) * dy = 0

(dxy4 + dx5) + -1(x * y3) * dy = 0

Multiply x * y3

dxy4 + dx5 + -1(xy3) * dy = 0

Multiply xy3 * dy

dxy4 + dx5 + -1dxy4 = 0

Reorder the terms:

dxy4 + -1dxy4 + dx5 = 0

Combine like terms: dxy4 + -1dxy4 = 0

0 + dx5 = 0

dx5 = 0

Solving

dx5 = 0

Solving for variable 'd'.

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

Simplifying

dx5 = 0

Answer 2

Answer:

Simplifying

Simplifying(x4 + y4) * dx + -1(x * y3) * dy = 0

Simplifying(x4 + y4) * dx + -1(x * y3) * dy = 0Reorder the terms for easier multiplication:

Simplifying(x4 + y4) * dx + -1(x * y3) * dy = 0Reorder the terms for easier multiplication:dx(x4 + y4) + -1(x * y3) * dy = 0

Simplifying(x4 + y4) * dx + -1(x * y3) * dy = 0Reorder the terms for easier multiplication:dx(x4 + y4) + -1(x * y3) * dy = 0(x4 * dx + y4 * dx) + -1(x * y3) * dy = 0

Simplifying(x4 + y4) * dx + -1(x * y3) * dy = 0Reorder the terms for easier multiplication:dx(x4 + y4) + -1(x * y3) * dy = 0(x4 * dx + y4 * dx) + -1(x * y3) * dy = 0Reorder the terms:

Simplifying(x4 + y4) * dx + -1(x * y3) * dy = 0Reorder the terms for easier multiplication:dx(x4 + y4) + -1(x * y3) * dy = 0(x4 * dx + y4 * dx) + -1(x * y3) * dy = 0Reorder the terms:(dxy4 + dx5) + -1(x * y3) * dy = 0

Simplifying(x4 + y4) * dx + -1(x * y3) * dy = 0Reorder the terms for easier multiplication:dx(x4 + y4) + -1(x * y3) * dy = 0(x4 * dx + y4 * dx) + -1(x * y3) * dy = 0Reorder the terms:(dxy4 + dx5) + -1(x * y3) * dy = 0(dxy4 + dx5) + -1(x * y3) * dy = 0

Simplifying(x4 + y4) * dx + -1(x * y3) * dy = 0Reorder the terms for easier multiplication:dx(x4 + y4) + -1(x * y3) * dy = 0(x4 * dx + y4 * dx) + -1(x * y3) * dy = 0Reorder the terms:(dxy4 + dx5) + -1(x * y3) * dy = 0(dxy4 + dx5) + -1(x * y3) * dy = 0Multiply x * y3

Simplifying(x4 + y4) * dx + -1(x * y3) * dy = 0Reorder the terms for easier multiplication:dx(x4 + y4) + -1(x * y3) * dy = 0(x4 * dx + y4 * dx) + -1(x * y3) * dy = 0Reorder the terms:(dxy4 + dx5) + -1(x * y3) * dy = 0(dxy4 + dx5) + -1(x * y3) * dy = 0Multiply x * y3dxy4 + dx5 + -1(xy3) * dy = 0

Multiply xy3 * dy

Multiply xy3 * dydxy4 + dx5 + -1dxy4 = 0

Multiply xy3 * dydxy4 + dx5 + -1dxy4 = 0Reorder the terms:

Multiply xy3 * dydxy4 + dx5 + -1dxy4 = 0Reorder the terms:dxy4 + -1dxy4 + dx5 = 0

Multiply xy3 * dydxy4 + dx5 + -1dxy4 = 0Reorder the terms:dxy4 + -1dxy4 + dx5 = 0Combine like terms: dxy4 + -1dxy4 = 0

Multiply xy3 * dydxy4 + dx5 + -1dxy4 = 0Reorder the terms:dxy4 + -1dxy4 + dx5 = 0Combine like terms: dxy4 + -1dxy4 = 00 + dx5 = 0

Multiply xy3 * dydxy4 + dx5 + -1dxy4 = 0Reorder the terms:dxy4 + -1dxy4 + dx5 = 0Combine like terms: dxy4 + -1dxy4 = 00 + dx5 = 0dx5 = 0

Multiply xy3 * dydxy4 + dx5 + -1dxy4 = 0Reorder the terms:dxy4 + -1dxy4 + dx5 = 0Combine like terms: dxy4 + -1dxy4 = 00 + dx5 = 0dx5 = 0Solving

dx5 = 0

dx5 = 0Solving for variable 'd'.Move all terms containing d to the left, all other terms to the right.

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

Move all terms containing d to the left, all other terms to the right.Simplifyingdx5 = 0

Move all terms containing d to the left, all other terms to the right.Simplifyingdx5 = 0The solution to this equation could not be determined.