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In each of the Exercises 1 to 10 verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:$y=\mathrm{A} x \quad: \quad x y^{\prime}=y(x \neq 0)$
Calculus 2 / BC
Chapter 9
Differential Equations
Section 2
Basic Concepts
Missouri State University
Harvey Mudd College
Baylor University
University of Michigan - Ann Arbor
Lectures
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Essential equation is X. Y. Dash is equal to buy, and we are required to check whether Y is equal to X is a solution of this equation or not. So letters differentiate why? Which will be virus is equal to Capitally substituting this and the given equation. We can write. The left hand side will be X. Multiplied with virus, which is capital A. This is equal to X and this is equal to buy. Since the left hand side is equal to the right hand side, we can say that they'll given function is a solution of the given differential equation.
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