Final answer to the problem
Step-by-step Solution
Specify the solving method
Rewrite the differential equation using Leibniz notation
Learn how to solve problems step by step online.
$\frac{dy}{dx}=\sin\left(x-y+1\right)$
Learn how to solve problems step by step online. Solve the differential equation y^'=sin(x-y+1). Rewrite the differential equation using Leibniz notation. 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. Differentiate both sides of the equation with respect to the independent variable x.