Final answer to the problem
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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Factor the polynomial $\cos\left(x\right)+\cos\left(x\right)\tan\left(y\right)^2$ by it's greatest common factor (GCF): $\cos\left(x\right)$
Learn how to solve integrals of rational functions problems step by step online.
$\frac{dy}{dx}=\cos\left(x\right)\left(1+\tan\left(y\right)^2\right)$
Learn how to solve integrals of rational functions problems step by step online. Solve the differential equation dy/dx=cos(x)+cos(x)tan(y)^2. Factor the polynomial \cos\left(x\right)+\cos\left(x\right)\tan\left(y\right)^2 by it's greatest common factor (GCF): \cos\left(x\right). 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}{1+\tan\left(y\right)^2}dy. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.
