MAT136H1 Lecture Notes - Product Rule, Linear Differential Equation, Integrating Factor
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MAT136H1 Full Course Notes
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Question #2 (medium): solving the linear differential equation. Linear differential equation is in the form of ( ) ( ), where the integrating factor. Then the next step is to multiply by this integrating factor to the differential equation to solve for the differential equation. Linear differential equation is in the form of ( ) ( ). So the given equation can be rearranged to be put into that form before proceeding to solve the differential equation. Move the y over to the other side and divide by : Then the integrating factor ( ) ( ) . Multiply this integrating factor to the differential equation: Then ( ) and ( ) the form of product rule, so:
