(c) Obtain the solution of the differential equation, dy x-y = x2 dx when x = 1 and y = 1.

Q: Use an appropriate substitution (4-5 a cos² to solve the differential equation (-) ) ª dx - x dy =…

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Q: Find the solution of the differential equation xdy – (y - xe*)dx = 0

A: We have to solve the differential equation…

Q: Find the differential equation given the general solution: y = cer + Czex + 3x

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Q: dy = e2x-3y, using separable variable method. dx Solve the differential equation

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Q: Solve the differential equation: (2xy-sinx)dx+(x² - cosy)dy=0.

A: The given differential equation is  (2xy-sinx)dx+(x2-cosy)dy=0 It is of the form , Mdx+Ndy=0 . This…

Q: Determine which of the functions are the solutions of the differential equation: y" - xy +y = 0.…

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Q: xdy – ydx = 3x²(x² + y²)dx

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Q: Solve the differential equation d?y dy + 5x + 4y = xlnx dx2 dx

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Q: Verify that the differential equation is homogenous, then solve it by substitution: (4x-y) dx +…

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Q: Determine the solution y2(2) of the differential equation, given that it is satisfied by the…

A: If y1x is the solution of the differential equation y''+Pxy'+Qxy=0,  then second linearly…

Q: xdy -ydx = (x² zaxy+ 2a?y2)(xdx +ydy) 2.

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Q: Solve the differential equation: (yexy - 2y³)dx + (xexy - 6xy² - 2y)dy = 0

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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.