Circle the general solution of the following equation 32 dz - 3y²dy = (2zy+ y²)dz + (z² + 2ry)dy. %3D a 3y + 2z°y+ 3z = e b. 3y+2zy+ 3z' = e Cy+ zy + z = c d y+zy +y-7-. e 3y-2zy- 3z² = c

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Q: Research work : Power series of Ordinary Differential Equations

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Q: 9. Draw all the non-isomorphic self complementary graphs on four vertices.

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Q: 3. Eliminate the arbitrary constants by isolation of constant y = x + C₁e* + С₂e-²x

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A: Clearly we can see that S˙+I˙+R˙=-βSI+βSI-αI+αI=0⇒S˙+I˙+R˙=0⇒S+I+R=constant. (Integrating we get)…

Q: 4. Find the orthogonal trajectories of the family of curves: y = ke* %3D

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Q: that species. The population is decreasing at the continuous rate of 12% per year. Write the…

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.