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We need to isolate the dependent variable , we can do that by simultaneously subtracting $12y$ from both sides of the equation
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$3\left(\frac{dy}{dx}\right)=4-12y$
Learn how to solve problems step by step online. Solve the differential equation 3dy/dx+12y=4. We need to isolate the dependent variable , we can do that by simultaneously subtracting 12y from both sides of the equation. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \frac{3}{4-12y}dy. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.