Q4: Find the general solution of 1-st order Linear D.E (x2 + 9) 2 + xy = 0

Q: A. Find the general solution of the DE: y" - 2y' +y = 6e'

A: Given A. y"-2y'+y=6et

Q: Q: Find the solution of x, y, z by using Gramer's Rule. 3x + 2y - z = 1 x- y+ 5z = -2 2x + y = 3

A: The given system of equation is  3x + 2y -z =1 x - y +5z =-2 2x +y =3

Q: Find a particular solution, y,(x), of y(ª – y" = 12e3 – 5x + 2. -

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Q: Find the general solution of the DE: y"+y' + 2y = 0

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Q: Find the general solution of the following DE. xy(y')² + (x² + y²)y' + xy = 0

A: Here given the differential equation as xyy'2+x2+y2y'+xy=0 Replace y' by p, then xyp2+x2+y2p+xy=0…

Q: (c) Using the method of characteristics, or otherwise, find the general solution to Uy +5Ux = 0.

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Q: a) Give a particular solution for y" – 2y' + y = 3e*.

A: According to company rule we can answer only first question and rest can be reposted.

Q: -1 Q-2). Given that y = x' is a solution of 2x y"+ xy'- 3y = 0, x>0 find a linearly independent…

A: Given that  y=x-1=1x is a solution of 2x2y''+xy'-3y=0. We need to find a second linearly independent…

Q: 2. Find the general solution to d²y dz² dy + 3y = e* dr

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Q: Find the General Solution of (D² + 5DD' +6D2)Z = 10 cos(x - y)

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Q: Q1 Find the general solution of the PDE uuz + (x + u)u, = x

A: The given pde is : u ux +(x+u) uy =xComparing it with P.dudx+Q.dudy=RSo we get ,P=uQ=(x+u)R=xNow…

Q: Q2. If the solution of the below first order D.E is y = C ef(x.y) (x³ + xy²)y' = y3 Find the f(x,…

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Q: Find the general solution of y' + ny = emx for all m, n. Note: The case m = −n must be treated…

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Q: Q Find the solution of x, y, z by using Gramer's Rule. 3x + 2y - z 1 x- y+5z = -2 2x + y = 3

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Q: Q2. If the solution of the below first order D.E is y = C el(x.y) (x³ + xy²)y = y³ Find the f(x, y).

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Q: 2. a)

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Q: Find the general solution y" – 6y'+9y=x*e*

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Q: 23. Find the particular solution that satisfies the initial condition. y'+ 3x²y = 3x². Initial…

A: Particular solution is the solution which obtained by giving particular values to independent…

Q: What is the general solution? d3x d?x – 4x = 0 dt3 dt2

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Q: 3. Find the general solutions of, x+y dx x-y, a.

A: We have to solve the given differential equation.

Q: Show that the solution of T(n)=T(n– 1) +n is 0(n²). Do not

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Q: 4) Find the general solution of the 2nd order PDE 2и. - Зи,, +4и, 3D10 6) +** s (3x +2y) answer:

A: Given : 2nd order PDE       2uxx-3uxy+4ux=10                 --------- (1) To find : general…

Q: Q2: find the general solution: (D* - DD')z = (x² – 2y)e" + sin (2x – y) •2

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Q: Find a particular solution to y" + 6y' + 9y = 3z e

A: We use the method of variation of parameters to find the particular solution to the given…

Q: Use the variation of parameters to find the solution to the IVP. 0 1 et 1 X' (t) = x(t) + ,and X(0)…

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Q: y' -y"

A: According to our company policy, we are supposed to answer only one question at a time. For the rest…

Q: 9. Find the general solution of (D² – 2D+ 1)y= 6e*. A) y= (c, +c,x)e* + 3e™* B) y= (c, +c,x+ 3x² )e*…

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Q: Q6) Find least square solution of Ax=b where A=| 2 3 -3,b=|1| by constructing the normal -1 [2]…

A: Given: Ax=b A=-122-3-13b=412

Q: y' +(E- 1)y ==

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Q: Q4: Solve by using Separation of variables method? = 4 for 0 0 (0.e)=27.t) = 0 for t 20, u(x.0) =…

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Q: Q5/ Use Newt on-Raphson Method to find the approximate solution of the nonlinear equation f(x) given…

A: We are given that x3-x-1=0 . We have to find the approximate solution of the given nonlinear…

Q: 4. Find the complete solution of xdy + (x³ – xy? – y)dy = 0 |

A: According to question,Given differential equation,x dy + x3 - xy2 -y dy = 0

Q: Solve the below equations by Gaussian elimination metho- x +z = 1, 2x +y+z 0, x+y+ 2z = 1

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Q: solution of the di dy x + 4y = * x2

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Q: 2 Find the solution. ху'+ ху %3D 1-у, у(1) %3D 0 A y = x-'(1 – el-') B x = y-'(1 + el-) В © 2y =…

A: Solution of the differential equation

Q: Find the general solution to: 3X y^ - Gy' +Qy= x*e*

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Q: Q2. Find general solution of the DE 4y" + 4y" + y' = 0

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Q: 5. Find the general solution of yy' + y² = x a.y = x -+Ce-2* b.y² = x ++ Co-* c.y² = x -+ Ce-2r…

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Q: SOLVE A SYSTE M OF LINEAR EQUATIONS LU DECOMPOSI TION METHOD USING 2x + 2y +2 : 5 1X+ 32 : 5 EX +Hy…

A: Given 2x+2y+z=5x+3z=5-x+4y=2

Q: Yp = Find a particular solution to y" + 5y' + 4y = - 19te³t.

A: Introduction: The differential equation has a particular solution, which is a singular solution of…

Q: Specifically a differential equations problem. Question in pic below.

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Q: 4. Find the constant a so that Ø(x) = xe2x is a solution to y' + ay – e2x = 0 А. 4 В. 1 C. -1 D. -2

A: We have to find a

Q: c) give a particular solution for y" – 2y' + y = 3e* + 1+x

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Q: 3. Find the general solution of dy = y(xy – 1). d:r

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Q: What is the general solution of y' = e2-y ? 2e2 + e" = C O e2r 2ey = C O 2e2= ey = C O 2 In e + e =…

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Q: 4. Are y1 (x) = e*and y2(x) = x + 1 solutions of the D.E. xy" – (x + 1)y' +y = x2. Are y1(x)…

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Q: = 4 is 3. The nontrivial analytical solution of +x=with x(0) = (a)3-e (b) 3+e (c) 3+es (d)-3+e…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: Q2. If the solution of the below first order D.E is y = C ef(xy) (x³ + xy2)y' y3 Find the f(x,y).

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