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Step-by-step Solution
How should I solve this problem?
- 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
- Integrate using tabular integration
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Divide both sides of the equation by $dx$
Learn how to solve differential equations problems step by step online.
$\frac{\left(y+x+2\right)dy}{dx}=\frac{2dx}{dx}$
Learn how to solve differential equations problems step by step online. Solve the differential equation (y+x+2)dy=2dx. Divide both sides of the equation by dx. Simplify the fraction \frac{2dx}{dx} by dx. Rewrite the differential equation. When we identify that a differential equation has an expression of the form Ax+By+C, we can apply a linear substitution in order to simplify it to a separable equation. We can identify that y+x+2 has the form Ax+By+C. Let's define a new variable u and set it equal to the expression.