Problem 1
In each of 1 through 6, state whether the given boundary value problem is homogeneous or nonhomogeneousy+ 4y = 0, y(1) = 0, y(1) = 0
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L20 - 2 Implicit Differentiation requires the Chain Rule. Consider the following examples: d (x)= dx d 2 dx (x )= Now suppose that y is a differentiable function of x. d (y )= dy What is d (y ) dx To Differentiate Implicitly: Assume y is a differentiable function of x. 1. Differentiate both sides of the equation with respect to x. dy 2. Collect all terms involvidx on one side. 3. Rewrite by factoring outy . dx dy 4. Solve for . dx
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Chapter 11.1, Problem 1 is Solved
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