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We need to isolate the dependent variable , we can do that by simultaneously subtracting $-y$ from both sides of the equation
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$\frac{dy}{dt}=1-\left(-1\right)y$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dt-y=1. We need to isolate the dependent variable , we can do that by simultaneously subtracting -y from both sides of the equation. Simplify the expression {0}. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the t variable to the right side of the equality. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.