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Simplifying udx + (1 + -3u) * xdu = 3u2(e3u) * du Reorder the terms for easier multiplication: dux + dux(1 + -3u) = 3u2(e3u) * du dux + (1 * dux + -3u * dux) = 3u2(e3u) * du dux + (1dux + -3du2x) = 3u2(e3u) * du Combine like terms: dux + 1dux = 2dux 2dux + -3du2x = 3u2(e3u) * du Multiply u2 * e3u 2dux + -3du2x = 3e3u3 * du Multiply e3u3 * du 2dux + -3du2x = 3de3u4 Solving 2dux + -3du2x = 3de3u4 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3de3u4' to each side of the equation. 2dux + -3de3u4 + -3du2x = 3de3u4 + -3de3u4 Reorder the terms: -3de3u4 + 2dux + -3du2x = 3de3u4 + -3de3u4 Combine like terms: 3de3u4 + -3de3u4 = 0 -3de3u4 + 2dux + -3du2x = 0 Factor out the Greatest Common Factor (GCF), 'du'. du(-3e3u3 + 2x + -3ux) = 0Subproblem 1
Set the factor 'du' equal to zero and attempt to solve: Simplifying du = 0 Solving du = 0 Move all terms containing d to the left, all other terms to the right. Simplifying du = 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 '(-3e3u3 + 2x + -3ux)' equal to zero and attempt to solve: Simplifying -3e3u3 + 2x + -3ux = 0 Reorder the terms: -3e3u3 + -3ux + 2x = 0 Solving -3e3u3 + -3ux + 2x = 0 Move all terms containing d to the left, all other terms to the right. Add '3e3u3' to each side of the equation. -3e3u3 + -3ux + 3e3u3 + 2x = 0 + 3e3u3 Reorder the terms: -3e3u3 + 3e3u3 + -3ux + 2x = 0 + 3e3u3 Combine like terms: -3e3u3 + 3e3u3 = 0 0 + -3ux + 2x = 0 + 3e3u3 -3ux + 2x = 0 + 3e3u3 Remove the zero: -3ux + 2x = 3e3u3 Add '3ux' to each side of the equation. -3ux + 3ux + 2x = 3e3u3 + 3ux Combine like terms: -3ux + 3ux = 0 0 + 2x = 3e3u3 + 3ux 2x = 3e3u3 + 3ux Add '-2x' to each side of the equation. 2x + -2x = 3e3u3 + 3ux + -2x Combine like terms: 2x + -2x = 0 0 = 3e3u3 + 3ux + -2x Simplifying 0 = 3e3u3 + 3ux + -2x 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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