Solving Implicit Differential Equations

Solving Implicit Differential Equations

11th Grade · Math · 55 min

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Learning Objective

I can solve implicit differential equations using differentiation and algebra.

  • 1

    Implicit differentiation is a technique used to find the derivative of functions where one variable is not explicitly expressed in terms of another.

  • 2

    When using implicit differentiation, we differentiate both sides of the equation with respect to a variable (typically x) and then solve for y prime, which represents dy/dx.

  • 3

    When differentiating terms involving 'y' with respect to 'x', it's important to apply the chain rule, treating 'y' as a function of 'x', which introduces a y prime term.