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Simplifying y + dy = f(x + dx) Reorder the terms: dy + y = f(x + dx) Reorder the terms: dy + y = f(dx + x) dy + y = (dx * f + x * f) dy + y = (dfx + fx) Solving dy + y = dfx + fx Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dfx' to each side of the equation. dy + -1dfx + y = dfx + -1dfx + fx Reorder the terms: -1dfx + dy + y = dfx + -1dfx + fx Combine like terms: dfx + -1dfx = 0 -1dfx + dy + y = 0 + fx -1dfx + dy + y = fx Add '-1y' to each side of the equation. -1dfx + dy + y + -1y = fx + -1y Combine like terms: y + -1y = 0 -1dfx + dy + 0 = fx + -1y -1dfx + dy = fx + -1y Reorder the terms: -1dfx + dy + -1fx + y = fx + -1fx + -1y + y Combine like terms: fx + -1fx = 0 -1dfx + dy + -1fx + y = 0 + -1y + y -1dfx + dy + -1fx + y = -1y + y Combine like terms: -1y + y = 0 -1dfx + dy + -1fx + y = 0 The solution to this equation could not be determined.
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