Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- 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
- Load more...
Rewrite the differential equation using Leibniz notation
Learn how to solve differential equations problems step by step online.
$\frac{dy}{dx}-y=x$
Learn how to solve differential equations problems step by step online. Solve the differential equation y^'-y=x. Rewrite the differential equation using Leibniz notation. We need to isolate the dependent variable y, we can do that by simultaneously subtracting -y from both sides of the equation. Multiply -1 times -1. 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 has the form Ax+By+C. Let's define a new variable u and set it equal to the expression.