Final answer to the problem
$y=-\frac{8}{3}x+C_0$
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Step-by-step Solution
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- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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1
Factor the polynomial $3\left(\frac{dy}{dx}\right)+12$ by it's greatest common factor (GCF): $3$
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$3\left(\frac{dy}{dx}+4\right)=4$
Learn how to solve differential equations problems step by step online. Solve the differential equation 3dy/dx+12=4. Factor the polynomial 3\left(\frac{dy}{dx}\right)+12 by it's greatest common factor (GCF): 3. Divide both sides of the equation by 3. We need to isolate the dependent variable y, we can do that by simultaneously subtracting 4 from both sides of the equation. Simplify the addition \frac{4}{3}-4.
Final answer to the problem
$y=-\frac{8}{3}x+C_0$
