Lecture 1 Notes

Y 0 method of integrating factors section 21 a

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ue problems (IVP) • An initial condition is an added constraint on a solution. • e.g. Solve t 2 dy dt + 2ty (t) = sin(t) subject to the IC y (π ) = 0 . Initial conditions (IC) and initial value problems (IVP) • An initial condition is an added constraint on a solution. • e.g. Solve t 2 dy dt + 2ty (t) = sin(t) (A) (B) (C) (D) subject to the IC C + cos(π ) y (t) = − π2 1 − cos(t) y (t) = − t2 1 + cos(t) y (t) = t2 1 + cos(t) y (t) = − t2 y (π ) = 0 . Initial conditions (IC) and initial value problems (IVP) • An initial condition is an added constraint on a solution. • e.g. Solve t 2 dy dt + 2ty (t) = sin(t) (A) (B) (C) (D) subject to the IC C + cos(π ) y (t) = − π2 1 − cos(t) y (t) = − t2 1 + cos(t) y (t) = t2 1 + cos(t) y (t) = − t2 • An Initial Value Problem (IVP) is a ODE together with an IC. y (π ) = 0 . Method of integrating factors (Section 2.1) • A few examples - for each one, find a function f(t) to multiply through by so that the left hand side becomes a product rule: Method of integrating factors (Section 2.1) • A few examples - for each one, find a function f(t) to multiply through by so that the left hand side becomes a pr...
View Full Document

Ask a homework question - tutors are online