Indefinite Integration in Solving Differential Equations
Learn about the method of antidifferentiation, integrating both sides, and using constants of integration to solve differential equations in indefinte integrals.
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About Indefinite Integration in Solving Differential Equations
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Presentation Transcript
Slide1Indefinite Integrals6.1
Slide2Integration - Antidifferentiation- method of solution to a differential equation IN definite Integral Integration Symbol Variable of Integration Integrand Constant of Integration
Slide4Solve the differential equationSEPARATE VARIABLES (1) INTEGRATE BOTH SIDES Constant of Integration
Slide5Find the general solution toSEPARATE VARIABLES (2) INTEGRATE BOTH SIDES Constant of Integration
Slide6Find the general solution toSEPARATE VARIABLES (3) INTEGRATE BOTH SIDES Constant of Integration Note: This IS a solved differential equation General Solution since we don’t know C
Slide7Solve the differential equationSEPARATE VARIABLES (1) INTEGRATE BOTH SIDES Constant of Integration
Slide8Find the general solution toSEPARATE VARIABLES (2) INTEGRATE BOTH SIDES Constant of Integration
Slide9POSITION s(t)VELOCITY v(t) ACCELERATION a(t) D I F F E R E N T I A T E I N T E G R A T E
