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We need to isolate the dependent variable , we can do that by simultaneously subtracting $-\cos\left(x+2y+3\right)$ from both sides of the equation
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$\frac{dx}{dy}=-\frac{1}{2}-\left(-1\right)\cos\left(x+2y+3\right)$
Learn how to solve differential equations problems step by step online. Solve the differential equation -cos(x+2y+3)+dx/dy=-1/2. We need to isolate the dependent variable , we can do that by simultaneously subtracting -\cos\left(x+2y+3\right) 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+2y+3 has the form Ax+By+C. Let's define a new variable u and set it equal to the expression. Isolate the dependent variable x.