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Exercise

$y''+6y'+13y=0$

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Final answer to the exercise

$y=e^{-3x}\left(C_0\cos\left(2x\right)+C_1\sin\left(2x\right)\right)$

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  • Exact Differential Equation
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  • Separable Differential Equations
  • Homogeneous Differential Equation
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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Similar Questions Solved

$\frac{dy}{dx}=y^2-9$

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$\left(y^2+2xy\right)dx-x^2dy=0$

$\frac{dy}{dx}=y-y^2$

$\frac{dy}{dx}=y\left(y+2\right)$

$\frac{dy}{dx}=\left(1+e^{-x}\right)\left(y^2-1\right)$

Main Topic: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.

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