The Ultimate Crash Course for PLEM Majors

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Copyright and Educational Use Information

Copyright and Educational Use Information This page is a sample from The Ultimate Crash Course for STEM Majors, a collection of educational material covering mathematics, physics, engineering, and related STEM subjects. Explore the complete series through The Ultimate Crash Course for STEM Majors collection . Copyright Written by Jonathan David […]

Entry 1.1: Exact Differential Equation Solution via Boyce, W. E., DiPrima, R. C., & Meade, D. B. ODE

Exact Equations in Differential Equations QUESTION [21] 2.6.7 Determine whether the equation is exact. If it is exact, find the solution. \[ \left(\frac{y}{x}+6x\right) + \left({\color{red}\ln x}-2\right)y’ = 0, \qquad x>0. \] ANSWER \[ y\ln x+3x^2-2y=c. \] Before we begin to solve this question, we should acknowledge the condition, $x>0$. What […]