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Exercise

$y2dx+ydy=0$

Step-by-step Solution

Learn how to solve problems step by step online. Solve the differential equation y^2dx+ydy=0. Group the terms of the equation. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \frac{y}{y^2}dy. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.
Solve the differential equation y^2dx+ydy=0

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Final answer to the exercise

$y=C_1e^{-x}$

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  • Exact Differential Equation
  • Linear Differential Equation
  • Separable Differential Equations
  • Homogeneous Differential Equation
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
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