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- Homogeneous Differential Equation
- Exact Differential Equation
- Linear Differential Equation
- Separable 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 $d
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$\frac{dy}{dx}=\frac{\left(x+y+1\right)dx}{dx}$
Learn how to solve problems step by step online. Solve the differential equation dy=(x+y+1)dx. Divide both sides of the equation by d. Simplify the fraction \frac{\left(x+y+1\right)dx}{dx} by dx. 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 x+y+1 has the form Ax+By+C. Let's define a new variable u and set it equal to the expression. Isolate the dependent variable y.