Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Linear Differential Equation
- Exact 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
- Integrate using tabular integration
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Grouping the terms of the differential equation
Learn how to solve differential equations problems step by step online.
$\left(1+\frac{2}{y}\right)\sin\left(x\right)\cdot dy=-\cos\left(x\right)\cdot dx$
Learn how to solve differential equations problems step by step online. Solve the differential equation cos(x)dx+(1+2/y)sin(x)dy=0. Grouping the terms of the differential equation. Grouping the terms of the differential equation. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x. Expand the integral \int\left(1+\frac{2}{y}\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately.