Given z = 11sint + 18 and y= 11 cost + 45 (*) da %3D dt (i) (**) dy (0) dz %3D

Q: Find the general solution for (y + 1) dx + (4x - y)dy = 0

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Q: an integrating factor for the DE dy+ydx=e3x dx is  1)ex 2)x2 3)y 4)x 5)ey

A: To find an integrating factor for the DE dy+ydx=e3x dx

Q: Vx 3 1- evNīdy dx - 3 y3 e*y dx dy

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Q: Find the particular solution, Using the integrating factor method: dy + In x =- dx y where y(1) =3.

A: Solution: The objective is to find the particular solution to the given differential equation.

Q: use Separation of Variables to find the general solution. dx/dt= (t + 1)(x2 + 1)

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Q: Find integrating factor of the equation (x4+y4)dx-xy3dy=0

A: The given equation can be rewritten as   xy3dydx=x4+y4    ∴y3dydx-y4x=x3     Let y4=t…

Q: Find general solution of: 2x ( y - x^2) dx + dy = 0

A: Topic:- solution of differential equations

Q: Find the General and Particular solution of dy/dx = 4y ; y = 3, when x = 0

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Q: Find the solution to the initial value problems using integration. dH/dx=3x, H(0)=1…

A: Consider first problem:

Q: Solve for the general solution of (ylny-e^-(xy))dx+(1/y+xlny)dy=0

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Q: So SAF+1° y¹/3 x7 +1 (Hint: Change the order of integration to dy dx.) Y dx dy.

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Q: dx dt -x + y + 2et ip dt — у — е-t

A: System of differential equation

Q: Find the particular solution, Using the integrating factor method: dy + In x =-y where y(1) = 3. dx

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Q: Solve the initial value problem. √y dx + (x-4)dy=0, y(5)= 36

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Q: Solve the initial value problem dy (x - 1) 9 = (x + 1)(y – 2), given y(2) = 3. dx %3D %3|

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: A clamped beam of length 3 is modeled by: y(4) = 24, y(0) = y'(0) = 0, y(3) = y'(3) = 0. Solve the…

A: The given differential equation is y4=24, with y0=y'0=0 and y3=y'3=0 Now we integrate the given…

Q: Solve the initial value problem for y as a function of x. x2 - 16 dy = X, x > 4, y(8) = 0 dx

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Q: 3). S eax cos(mx) dx

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Q: Solve the initial value problems for y as a functionof x. (x2 + 4) dy/dx = 3, y(2) = 0

A: Given Data : Differential Equation x2+4dydx=3, y2=0                      1 The given initial value…

Q: What is the integrating factor of 2 (y – 4x²) dx + ædy = 0? | Oe O 2r

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Q: (x + 2y – 4)dx - (2x + y - 5)dy = 0 What is the particular solution when y(3)=1?

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Q: Solve dy = x'y° - xy t. dx %3D .3

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Q: Solve the initial value problem dz/dt=cost−2sint, z(0)=5.

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Q: Solve the initial value problem √y dx + (x - 2)dy = 0, y(3) = 9

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Q: x3 +y3)dx +y2(3x+ky)dy = 0; k is constant

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Q: Solve for the integrating factor * y (x + y) dx + (x + 2y – 1) dy = 0

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Q: •1 fl-x r4-x²-y 16. x dz dy dx 0 Jo 3

A: See the attachment

Q: Find the general solution by means of separation of variables if: dy = xy -x dx

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Q: Use separation of variables to solve the initial value problem. dy 2xcos² y; y(3) = 0 dx

A: Here we have to solve the givne differential equation.  dydx=2xcos2y; y(3)=0

Q: 4- S" e-x* dx 5- Vy e-y² dy

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Q: dy/dx = 2x3,    y(0) = 3 y =

A: Given Data:   Solve the differential equation,

Q: 2, x cost dt dx А. 2 В. 0 С. 1 D. x

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Q: dr2 dx dx d²y, 7 dy , 9y 3. dr2 dy =1 at x = 1. dx = 0; y = 0 and x dx x2 4. Use the method of…

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Q: dy dv 2 Find for y = = [ √3 +4 dt. 0

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Q: 1. y = 3x2 - 5x when x = 3 dx when x= 2 b. dt a. 32 dt dy dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: dx Зх — 2у — z dt - dy 3x – 4y – 3x dt dz - 2x – 4y dt

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Q: (B.) L ( ³x ++ -cost} { +4- dt 3 dx dt Where: x(0) = x '(o)=6 and x" (0) = 2

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Q: dx 2x - y dt dy

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Q: Solve the initial value problem dy (x – 1) = (x + 1)(y – 2), given y(2) = 3. dx |3D

A: According to our company policy, we are supposed to answer the only first question. In the first…

Q: x(y-1) dx + (x +1) dy -0

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Q: d*y 2) Obtain a particular solution for d²y dy + dx + y = x3 + 2x +1 dx4 dx?

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Q: Find the General and Particular solution of dy/dx = 3y ; y = 3, when x = 0

A: The formula for integration of fractional function is given by: ∫1x=ln|x|. Given: dydx=3y ; y=3 when…

Q: Use Separation of Variables to solve the initial value problem. dy : (1 + y²) tan z, y(0) = v3 xp

A: solution of the given equation is tan-1y + log(cos(x)) = π3 detailed solution is given below

Q: f- dx dt - 4x=2e²¹ + e*; where x(0)=0

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Q: Find the Particular Solution: y(x - 6y)dx - x(2x - 9y)dy = 0 ; when x=1, y=1

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Q: 2. x3 – y3 = c³, find y" %3D d²x 3. x* = at?, find dt2

A: we need to find d2ydx2 from equation x3-y3=c3

Q: 3.) S, t°(1+ t*y°dt 4.) (x²-5x)e*dx 5.) S(4x²-7)dx/2x+3

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Q: find the general solution for: x^2*d^2y/dx^2 + x*dy/dx -y=0

A: SolutionGiven    x2d2ydx2+ xdydx - y = 0Gind the general solution of the given differential equation…

Q: ) S3x'dx 34- 3/2 3) Ssú dy dt

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