(3y^2)dy-(x-1)=0

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Solution for (3y^2)dy-(x-1)=0 equation:


Simplifying
(3y2) * dy + -1(x + -1) = 0

Remove parenthesis around (3y2)
3y2 * dy + -1(x + -1) = 0

Multiply y2 * dy
3dy3 + -1(x + -1) = 0

Reorder the terms:
3dy3 + -1(-1 + x) = 0
3dy3 + (-1 * -1 + x * -1) = 0
3dy3 + (1 + -1x) = 0

Reorder the terms:
1 + 3dy3 + -1x = 0

Solving
1 + 3dy3 + -1x = 0

Solving for variable 'd'.

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

Add '-1' to each side of the equation.
1 + 3dy3 + -1 + -1x = 0 + -1

Reorder the terms:
1 + -1 + 3dy3 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3dy3 + -1x = 0 + -1
3dy3 + -1x = 0 + -1

Combine like terms: 0 + -1 = -1
3dy3 + -1x = -1

Add 'x' to each side of the equation.
3dy3 + -1x + x = -1 + x

Combine like terms: -1x + x = 0
3dy3 + 0 = -1 + x
3dy3 = -1 + x

Divide each side by '3y3'.
d = -0.3333333333y-3 + 0.3333333333xy-3

Simplifying
d = -0.3333333333y-3 + 0.3333333333xy-3

Reorder the terms:
d = 0.3333333333xy-3 + -0.3333333333y-3

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