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Exercise

$\cos\left(4x\right)-\sin\left(4x\right)=\cos\left(4x\right)$

Step-by-step Solution

Learn how to solve differential equations problems step by step online. Solve the trigonometric equation cos(4x)-sin(4x)=cos(4x). Grouping all terms to the left side of the equation. Cancel like terms \cos\left(4x\right) and -\cos\left(4x\right). Multiply both sides of the equation by -1. The angles where the function \sin\left(4x\right) is 0 are.
Solve the trigonometric equation cos(4x)-sin(4x)=cos(4x)

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Final answer to the exercise

$x=0+2\pi n,\:x=\frac{1}{4}\pi+\frac{1}{2}\pi n\:,\:\:n\in\Z$

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Similar Questions Solved

$\frac{dy}{dx}=y^2-9$

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$\frac{dy}{dx}=y-y^2$

$\frac{dy}{dx}=y\left(y+2\right)$

$\frac{dy}{dx}=\left(1+e^{-x}\right)\left(y^2-1\right)$

$\frac{dy}{dx}=\frac{x}{2x-y}$

$x\frac{dy}{dx}+y=y^2$

Main Topic: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.

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