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Exercise

$2xydx-\sqrt{x^2-1dy}=0$

Step-by-step Solution

Learn how to solve implicit differentiation problems step by step online. Solve the differential equation 2xydx-(x^2-dy)^(1/2)=0. Group the terms of the equation. Multiply both sides of the equation by -1. 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{-2}{2y}dy.
Solve the differential equation 2xydx-(x^2-dy)^(1/2)=0

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Final answer to the exercise

$y=C_2e^{-2x}$

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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
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