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Exercise

$\frac{dy}{dx}\cot\left(2x\right)=2y-2$

Step-by-step Solution

Learn how to solve special products problems step by step online. Solve the differential equation dy/dxcot(2x)=2y-2. 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{1}{2y-2}dy. Simplify the expression \frac{1}{\cot\left(2x\right)}dx. 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 dy/dxcot(2x)=2y-2

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Final answer to the exercise

$y=\frac{C_2}{\cos\left(2x\right)}+1$

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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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