B-How do you Know if an equation is Homogenous or non- Homogenous? What is degree of equations? F(x,y) =2 x³ (In/x² + y² – In y) +3 y³e*-y

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Q: 2L, - 2L <I< 0 f(z) = f(x) %3D 2L- r, 0SI< 2L

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Q: 1 y" – 2y' + 2y y(4) = 0, 3 (4) = 0. -

A: Given: The given differential equation is y''-2y'+2y=1x, y4=0,y'4=0

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Q: 2. Use suitable linearization to find the approximate value for the function at point P. f(x,y) (x-…

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Q: The cubic function y = ax3 + bx2 + cx +d pass through (0, -6), (1, -2) and tangent to the line 3x -…

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Q: Find f(3,4) for f (x, y) = In(x + /x² + y²). %3D

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Q: 57. The velocity of a wave of length L in deep water is L C v = K C L where K and C are known…

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Q: ind the orthogonal trajectories of x^3=3(y-c)

A: Given equation of curve  is   x3 = 3(y-c)  we have to find  the orthogonal  trajectories

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.