Exercise
$x^4\frac{d^3y}{dx^3}+1=0$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the equation x^4(d^3y)/(dx^3)+1=0. We need to isolate the dependent variable y, we can do that by simultaneously subtracting 1 from both sides of the equation. Multiplying the fraction by x^4. Apply the property of the quotient of two powers with the same exponent, inversely: \frac{a^m}{b^m}=\left(\frac{a}{b}\right)^m, where m equals 3. Divide both sides of the equation by \left(\frac{d}{dx}\right)^3.
Solve the equation x^4(d^3y)/(dx^3)+1=0
Final answer to the exercise
$y=\frac{-dx^3}{d^3x^4}$