. Consider the autonomous first order equation dr = r*(1 – r²). dt Find all critical points, and classify them as stable, unstable or semi-stable. Draw a phase diagram. Do not attempt to solve the equation.

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Kindly correctly and handwritten also must draw phase diagram
value of a.
3. Consider the autonomous first order equation
d.r
= r²(4 – x²).
dt
Find all critical points, and classify them as stable, unstable or semi-stable.
Draw a phase diagram. Do not attempt to solve the equation.
Transcribed Image Text:value of a. 3. Consider the autonomous first order equation d.r = r²(4 – x²). dt Find all critical points, and classify them as stable, unstable or semi-stable. Draw a phase diagram. Do not attempt to solve the equation.
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