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Y=c1y+c2Y=\frac{c_1}{y+c_2}

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Full solution

Q. Y=c1y+c2Y=\frac{c_1}{y+c_2}
  1. Identify Equation: Identify the equation to solve: Y=c1y+c2.Y = \frac{c_1}{y + c_2}.
  2. Multiply Both Sides: Multiply both sides by (y+c2)(y + c_2) to get rid of the denominator: Y(y+c2)=c1Y(y + c_2) = c_1.
  3. Distribute YY: Distribute YY on the left side: Yy+Yc2=c1Yy + Yc^{2} = c_{1}.
  4. Subtract Yc2Y_{c2}: Subtract Yc2Y_{c2} from both sides to isolate YyY_{y}: Yy=c1−Yc2Y_{y} = c_{1} - Y_{c2}.
  5. Divide for yy: Divide both sides by YY to solve for yy: y=c1−Yc2Yy = \frac{c_1 - Yc_2}{Y}.

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