keyideas1 - a 3 x ′ ′ ′ y 4 y 4 = cos x linear...

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Name: __________________________ Key Ideas for Tutorial 1 To be submitted at the start of your tutorial on July 8 or July 13. 1. Write the long form: a. ODE __________________________________________________ b. PDE __________________________________________________ c. IVP ___________________________________________________ 2. Indicate the order for each differential equation: a. 3 x y + 4 y 4 = cos x _____ b. x y + 4 y = 0 _____ c. u xx 4 t 3 u t = 4 x 4 _____ 3. Which are linear differential equations? Circle your answers.
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Unformatted text preview: a. 3 x ′ ′ ′ y + 4 y 4 = cos x linear nonlinear b. x ′ ′ y + 4 y = linear nonlinear c. 3 x ′ ′ ′ y + 4 y (4) = cos x linear nonlinear d. 3 x 2 ′ ′ ′ y + 4 y = x linear nonlinear 4. Write each differential equation in normal form. a. 3 x ′ ′ ′ y + 4 y 4 = cos x ________________________________ b. x ′ ′ y + 4 y = ________________________________ 5. Write the equation for Newton’s Law of Heating and Cooling, identifying each variable....
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