Final answer to the problem
$y=C_0e^{-4x}$
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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
- Integrate by parts
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1
Divide all terms of the equation by $3$
Learn how to solve integrals of polynomial functions problems step by step online.
$\frac{dy}{dx}+\frac{12y}{3}=\frac{0}{3}$
Learn how to solve integrals of polynomial functions problems step by step online. Solve the differential equation 3dy/dx+12y=0. Divide all terms of the equation by 3. Divide 0 by 3. Take \frac{12}{3} out of the fraction. We can identify that the differential equation has the form: \frac{dy}{dx} + P(x)\cdot y(x) = Q(x), so we can classify it as a linear first order differential equation, where P(x)=4 and Q(x)=0. In order to solve the differential equation, the first step is to find the integrating factor \mu(x).
Final answer to the problem
$y=C_0e^{-4x}$
