Final answer to the problem
$y=e^{-3x}\left(C_0\cos\left(2x\right)+C_1\sin\left(2x\right)\right)$
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Step-by-step Solution
How should I solve this problem?
- 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
- Integrate using tabular integration
- Load more...
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1
Obtain the characteristic equation
$r^{2}+6r+13=0$
Learn how to solve differential equations problems step by step online.
$r^{2}+6r+13=0$
Learn how to solve differential equations problems step by step online. Solve the differential equation y^''+6y^'13y=0. Obtain the characteristic equation. Find the solutions to the quadratic equation r^{2}+6r+13=0. Of the complex solutions, take only the positive solution (the one where the coefficient of i is greater than 0). Express the complex root (\frac{-6+4i}{2}) in the form r=a+bi where a and b are constants.
Final answer to the problem
$y=e^{-3x}\left(C_0\cos\left(2x\right)+C_1\sin\left(2x\right)\right)$
