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Exercise

$x\frac{d^2}{dx^2}\left(y\right)+3\frac{d}{dx}\left(y\right)+x^3y$

Step-by-step Solution

1

Factor the polynomial $x\frac{d^2}{dx^2}y+3\left(\frac{d}{dx}\right)y+x^3y$ by it's greatest common factor (GCF): $y$

$y\left(x\frac{d^2}{dx^2}+3\left(\frac{d}{dx}\right)+x^{3}\right)$

Final answer to the exercise

$y\left(x\frac{d^2}{dx^2}+3\left(\frac{d}{dx}\right)+x^{3}\right)$

Try other ways to solve this exercise

  • Choose an option
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
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