2tds+s(2+s^2t)dt=0

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Solution for 2tds+s(2+s^2t)dt=0 equation: 


Simplifying
2tds + s(2 + s2t) * dt = 0

Reorder the terms for easier multiplication:
2dst + s * dt(2 + s2t) = 0

Multiply s * dt
2dst + dst(2 + s2t) = 0
2dst + (2 * dst + s2t * dst) = 0
2dst + (2dst + ds3t2) = 0

Combine like terms: 2dst + 2dst = 4dst
4dst + ds3t2 = 0

Solving
4dst + ds3t2 = 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), 'dst'.
dst(4 + s2t) = 0


Subproblem 1
Set the factor 'dst' equal to zero and attempt to solve:

Simplifying
dst = 0

Solving
dst = 0

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

Simplifying
dst = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(4 + s2t)' equal to zero and attempt to solve:

Simplifying
4 + s2t = 0

Solving
4 + s2t = 0

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

Add '-4' to each side of the equation.
4 + -4 + s2t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + s2t = 0 + -4
s2t = 0 + -4

Combine like terms: 0 + -4 = -4
s2t = -4

Add '-1s2t' to each side of the equation.
s2t + -1s2t = -4 + -1s2t

Combine like terms: s2t + -1s2t = 0
0 = -4 + -1s2t

Simplifying
0 = -4 + -1s2t

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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