Find the general and special solutions of the following differential equations analytically A : 8 B : 88

Q: y" - 2my' + m² memx m

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Q: a) (e" +1) e*dx + (e* +1)"e*dy = 0 1 1 dy +y dx dy y? -1 c) dx x -1 si y (2) = 2

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Q: dy dx =y²-2xy + 2

A: We need to solve the differential equation:dydx=y2-2xy+2.

Q: y"-2my' + m²: = memx √x

A: Use m = 7 in given differential equation Then we find genral solution of thet diferential equation…

Q: 2. y' – 2r³y = x³y-

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Q: 4. у 3 2ах + bx2

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Q: (1 – xy)-2dx + [y? + x²(1 – xy)-²]dy = 0 (y – cos?x)dx + cos x dy = 0 + Ri = E, where L, R, and E…

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Q: 2r(3w² + 6wr + 5r) dr + 2(2r³ + 3wr² + 2) dw = 0

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Q: ne unknown initial temperature, 3. If the temperature of the air is 300K and the substance cools…

A: As per the guidelines I can solve only first question

Q: у" + 6у' — 7у%3 0 7y = 0

A: General solution for the second order homogeneous differential equation..     according to Bartleby…

Q: Q.3) Find the solution of the following differential equation: dy y-I dr

A: Given differential equation is dydx=y−xy+x.....1. We have to find the solution of the given…

Q: (t²e' – 4x²)dt + 8txdx = 0

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