solve the Differential Equation ydx-4xdy=y^6dy if x=4 and y=1
Answers
Answer:
Simplifying
ydx + -4xdy = y6(dy)
Combine like terms: dxy + -4dxy = -3dxy
-3dxy = y6(dy)
Multiply y6 * dy
-3dxy = dy7
Solving
-3dxy = dy7
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-1dy7' to each side of the equation.
-3dxy + -1dy7 = dy7 + -1dy7
Combine like terms: dy7 + -1dy7 = 0
-3dxy + -1dy7 = 0
Factor out the Greatest Common Factor (GCF), '-1dy'.
-1dy(3x + y6) = 0
Ignore the factor -1.
Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve:
Simplifying
dy = 0
Solving
dy = 0
Move all terms containing d to the left, all other terms to the right.
Simplifying
dy = 0
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.
Step-by-step explanation: