dy+pydx=qdx

Simple and best practice solution for dy+pydx=qdx equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for dy+pydx=qdx equation: 


Simplifying
dy + pydx = qdx

Reorder the terms:
dpxy + dy = qdx

Solving
dpxy + dy = dqx

Solving for variable 'd'.

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

Add '-1dqx' to each side of the equation.
dpxy + -1dqx + dy = dqx + -1dqx

Combine like terms: dqx + -1dqx = 0
dpxy + -1dqx + dy = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(pxy + -1qx + y) = 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 '(pxy + -1qx + y)' equal to zero and attempt to solve:

Simplifying
pxy + -1qx + y = 0

Solving
pxy + -1qx + y = 0

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

Add '-1pxy' to each side of the equation.
pxy + -1qx + -1pxy + y = 0 + -1pxy

Reorder the terms:
pxy + -1pxy + -1qx + y = 0 + -1pxy

Combine like terms: pxy + -1pxy = 0
0 + -1qx + y = 0 + -1pxy
-1qx + y = 0 + -1pxy
Remove the zero:
-1qx + y = -1pxy

Add 'qx' to each side of the equation.
-1qx + qx + y = -1pxy + qx

Combine like terms: -1qx + qx = 0
0 + y = -1pxy + qx
y = -1pxy + qx

Add '-1y' to each side of the equation.
y + -1y = -1pxy + qx + -1y

Combine like terms: y + -1y = 0
0 = -1pxy + qx + -1y

Simplifying
0 = -1pxy + qx + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

See similar equations:

| 230x+140y=3740000 | | -10y+18y= | | 4(9a-8)= | | 2w^2+22w+60=0 | | 4(2x+1)-x+9= | | 4x-3+2-60= | | 5x-11=6x | | (b-4)/3=-5 | | X^3-6x^2-36+216=0 | | 4b-5(4b-8)= | | 0=26ln(2x+5) | | 5x^2=10x+8 | | R(x)=26ln(2x+5) | | 6+(8y-5)=18y | | 6+7(3x-5)=3-3(7x-9) | | a*6+6=12 | | X-y/2=0 | | -5+15=12x-2-11x | | 9x-11=4x+7 | | 15ax/2-100x/2 | | y-4.3=-57 | | (85-3b)+(2b+42)+(5a-9)+(7a+33)+(5a-9)=360 | | (10y+44)+(48-2y)=156 | | 0=4x^3+2x^2-7 | | Y=4x^3+2x^2-7 | | X=4x^3+2x^2-7 | | 3(3x-9)-2=3(x-2)-5 | | x(3x-7)=(3x+8)(X-3) | | 2(x-5)+14x= | | (9x^4)+(6x^2)+1= | | x(x-7)=(3x+8)(X-3) | | (3x-2)(x-1)=0 |

Equations solver categories