MAT136H1 Lecture Notes - Product Rule, Integrating Factor
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MAT136H1 Full Course Notes
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Question #4 (medium): solving the initial value for the linear differential equation. Solving initial value means once the linear differential equation has been solved, given the x and y value combination, the arbitrary constant factor can be determined by working out the equation backward. First the equation need to be arranged in the form of linear differential equation: The integrating factor is: ( ) . Multiply the integrating factor to the linear differential equation on both sides: ; the left side is then in the form of product rule: ( The equation can be divided by the integrating factor: Now since ( ) , plug into the equation and to find the missing value :
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