Find the particular solution of the initial value problem. 4y" – 4y' – 3y = 0, y(0) = 1 and y'(0) = 5 7 -e 4 а. y = b. 3X 7 y = ax 7 ez + с. y = 3X d. y = e2 Oc Ob Od O a

Q: Q4. Solve the following differential equations: dy _x-у-2 а) dx x+y+4 b) x*ydx= y'xdy

A: a The given differential equation is,dydx=x-y-2x+y+4

Q: Solve the initial value problem. -7 4 y' = у, у(0): -6 7 -4 |

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Q: 5. Solve the equation * SHOW YOUR COMPLETE AND CLEAR SOLUTION. (»^)² + (x – 2x+ ) y' +x--xt = 0 |…

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Q: Solve the initial value problem. 2x* - х - 4 2 dy X dx (x+1)(у+1) y(1) = 3

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Q: uation: Solve the e * + 2xdy = 0. = x

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Q: If y = v3x , then y' is A. -1/2 B. V3 x -1/2 С. /3x V3 D. 2 V3 -1/2

A: Given y=3x

Q: Find the general solution of the BDE, y' = a. y=1-Cx 2x2 b. y= 1+Cx С. у3 1+Cx2 2x d. y= 1+Cx2

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Q: 15. Obtain general solution of y' = y + y³. a. y² = 1 + ce²x b. y2-1/2 + ce²x c. y2=1+ ce-2x d.…

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Q: 1. Solve the IVP. (xy2 + 3y2)dy-2xdx = 0 y(-4)=-3/18 2. Solve the IVP. y" +2y+2y=8(t- -플) y(0) = 3,…

A: 1. 2. 3. 4. 5. 6. 7. 8. 9.

Q: If y1=x2+x°is a solution for x²y"-4xy'+6y=0, then the second solution is Select one: a. -In(x+1) O…

A: we have to solve given problem:

Q: Find two solutions of x?y" - 4xy'+ óy = 0. A. None of them O B. Y1 = x° and y = -x Oc.V1 = x and y2…

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Q: 7. Find the general solution: y(x? + y²)dx + x(3x² – 5y²)dy = 0 a. y³(y² – x²) = cx b. 2y3(у2 — х?)…

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Q: a. || 8 3)++ (-2) x+ t> 0

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Q: Find the solution. y' = y - xy³ e-2x A e2=x²(y²+c) B e2Y =x²(y²+c) (c) edx =y²(x²+c) (D D e=y²(x²+c)

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Q: it as a Bernoulm cquaion in the uependeht varlavic A. 0. 2x'y = y(y? + 3x). Solve by two methods.…

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Q: 5. хуdx — (x? + 3у?) dy %3D 0.

A: We know that the differential equation Mdx+Ndy=0 is exact,  if ∂M∂y=∂N∂x. The solution of the…

Q: Find the general solution of the following DE. y' = 3 (y + 1) O y = 3ce³x - 1 Oy = ce³x - 1 Oy =…

A: y' = 3(y+1) dy/dx = 3(y+1) dy/3(y+1) = dx dy/(y+1) = 3dx now apply both side integration