Final answer to the problem
$4\frac{d}{dx}\left(\frac{d^2}{dx^2}\left(y\right)\right)y^{3}+36\frac{d}{dx}\left(y\right)\frac{d^2}{dx^2}\left(y\right)y^{2}+24\left(\frac{d}{dx}\left(y\right)\right)^{3}y+\frac{d}{dx}\left(\frac{d^2}{dx^2}\left(3y\right)\right)-24=0$
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Step-by-step Solution
How should I solve this problem?
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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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1
Find the ($1$) derivative
Learn how to solve higher-order derivatives problems step by step online.
$4y^{3}\frac{d}{dx}\left(y\right)+\frac{d}{dx}\left(3y\right)-12x^{2}=5$
Learn how to solve higher-order derivatives problems step by step online. Find the higher order (3) derivative of y^4+3y-4x^3=5x+1. Find the (1) derivative. Find the (2) derivative. Find the (3) derivative. Simplifying.
Final answer to the problem
$4\frac{d}{dx}\left(\frac{d^2}{dx^2}\left(y\right)\right)y^{3}+36\frac{d}{dx}\left(y\right)\frac{d^2}{dx^2}\left(y\right)y^{2}+24\left(\frac{d}{dx}\left(y\right)\right)^{3}y+\frac{d}{dx}\left(\frac{d^2}{dx^2}\left(3y\right)\right)-24=0$
