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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 , 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.