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Exercise

$\tan\left(y\right)dx-\cot\left(x\right)dy=0$

Step-by-step Solution

Learn how to solve problems step by step online. Solve the differential equation tan(y)dx-cot(x)dy=0. Group the terms of the equation. Multiply both sides of the equation by -1. Multiply -1 times -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.
Solve the differential equation tan(y)dx-cot(x)dy=0

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Final answer to the exercise

$y=\arcsin\left(\frac{c_1}{\cos\left(x\right)}\right)$

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  • Product of Binomials with Common Term
  • FOIL Method
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