Assignment- Polar Curves and Differential Equations Problems

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Assignment - Polar Curves and Differential Equations Problems

Q1. Sketch the polar curve r = sin θ + cost θ, then calculate its arc length.

Q2. Solve the differential equation y'/y - (x cos x ln x)/y + tan x = 0 with initial condition y(1) = 0.

Q3. For each of the following differential equations, use a substitution to express it as a linear or separable differential equation. You do not have to solve the resulting equation.

(a) y' = y In x + xy In y

(b) y' = exy + e2xy2

Hint: every substitution will be of the form u = ey, u = In y, u = yn, or u = y-n.

Reference no: EM132848180

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