Question

Verify that the equation

equation

is integrable and find its primitive.

20 Feb 2025
Answer :
Word Count : 246
We are tasked with verifying whether the equation \[ 2(y+z)dx - (x+z)dy + (2y - x + z)dz = 0 \] is integrable, and if so, finding its primitive. The equation is in the form of a first-order differential equation involving three variables: \(x\), \(y\), and \(z\). ### Step 1: Verifying Integrability For a differential equation of the form: \[ M(x, ________ _____ __________ ____ __________ ____ _____ ______ _______ ___ ______ _________.
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