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integration

Initial value problems and particular antiderivatives

taught

Taught in

Requires

Required by

Local knowledge map

Local knowledge map

Characteristics for a system Characteristics with variable coefficients D'Alembert's formula for the wave equation IVPs vs. BVPs, revisited Reducing a 2nd-order PDE to canonical form via characteristics The Fundamental Theorem of Calculus -- worked applications The regular Sturm-Liouville problem Boundary-value problems, contrasted with IVPs Indefinite integral notation and the Net Change Theorem Solving linear first-order PDEs by characteristics Initial value problems and particular antiderivatives Antiderivatives of trigonometric and exponential functions Order, linearity, and homogeneity of a PDE The Fundamental Theorem of Calculus, Part 2 -- evaluating… U-substitution -- reversing the chain rule for indefinite… Basic antiderivative rules -- power, constant multiple,… Antiderivatives -- the reverse of differentiation Constant, power, and constant-multiple rules Sum and difference rules

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