Find the general solution for each of the following differential equations. Use hand calculations to demonstrate knowledge of solving techniques. a. y=ty+y b. y+2y+10y=0 c. y=-2y+e

Q: y = y? + 5y + 6 %3D

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Q: (3y2 + 5x²) dx + 2xy dy = 0

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Q: Solve the given differential equation. dy = 18-ay %3! dx O y= (6x22 -C) O y = 6x2 + C O y = 6x + x2…

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Q: (4D58D4 17D³ + 12D² +9D)y = 0 -

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Q: Solve for the general solution of the following Differer 1. 2xdy + y(2 + y2x) dx = 0. %3D

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Q: Find the differential equation having the solution as of the following b. (x – r)? + y? = r²

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Q: 1J at. Solve the following differential equation:y-5y-0, y(0) =5. voo-3e-2

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Q: d°y d5y 12 d*y + 86 dx+ 300 d³y + 625 dx² d²y = 0 dx6 dx5 dx³

A: Given linear differential equation with constant coefficient . The solution is

Q: (w - 3x +3)dw + ( 3w + x + 9)dx=0

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Q: dºu d5u + 6 dv5 dªu d³u 48 dv3 d²u 81 dv2 du 54 dv dv6 dv4 81u = 0

A: Given: d6udv6+6d5udv5+d4udv4-48d3udv3-81d2udv2-54dudv-81u=0 So, we can also write as:…

Q: Which of the following is a solution to the differential equation xy - 2y = 2?

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Q: 2)2 0- p-( - 2np) לק יב xy P

A: Given: xy p3+x2-2y2p2-2xy p=0

Q: the following solution

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Q: Find the differential equation that corresponds to the following solution. s = c1 e-3t + c2 e Sint +…

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Q: (メ+ッ)dx + (x4ッ)dy =。 d x dy x yz x?y

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Q: Evaluate the Inverse Laplace transformation of the following functions

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Q: dy dx + 2y = x³e-2x

A: The given differential equation is: dydx+2y=x3e-2x

Q: а. (у — cos?x)dxх + сosxdy %3D 0 b. ydx %3D (еУ + 2ху — 2х)dy

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Q: x3 4. Зx2 dx 3x 8(у + 1) %3D 0 dy у+1

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