Final answer to the problem
$\sin\left('x\right)^{\prime}+2\cos\left(x\right)^2+\cos\left(x\right)^2\cot\left(x\right)^2=\csc\left(x\right)^2$
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Step-by-step Solution
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- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- 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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1
Rewrite the differential equation using Leibniz notation
$\sin\left('x\right)^{\prime}+2\cos\left(x\right)^2+\cos\left(x\right)^2\cot\left(x\right)^2=\csc\left(x\right)^2$
Final answer to the problem
$\sin\left('x\right)^{\prime}+2\cos\left(x\right)^2+\cos\left(x\right)^2\cot\left(x\right)^2=\csc\left(x\right)^2$