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y''+y=\cot\left(2x\right)

Solve the equation y''+y=cot(2x)

Answer

$y+y''=\frac{1-2\sin\left(x\right)^2}{2\cos\left(x\right)\sin\left(x\right)}$

Step-by-step explanation

Problem

$y''+y=\cot\left(2x\right)$
1

Applying the cotangent identity: $\displaystyle\cot\left(\theta\right)=\frac{\cos\left(\theta\right)}{\sin\left(\theta\right)}$

$y+y''=\frac{\cos\left(2x\right)}{\sin\left(2x\right)}$

Unlock this step-by-step solution!

Answer

$y+y''=\frac{1-2\sin\left(x\right)^2}{2\cos\left(x\right)\sin\left(x\right)}$