Solve Q.!] by Using Variation of Parameters method : 49+36 y = csc (3×).

Q: Q6. Find the general solution using variation of parameters of y"+ 4y 8tant %3D | 2

A: To solve the differential equation:

Q: solve using the appropriate method. (y − 1)y'= t , y(1) = −3

A:

Q: 3. Solve, using the method of variation of parameters: y" + 4y' = sec 2x

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Q: () = (5y – 2x) y' – 2y = 0; y %3D | 4 II

A: Exact differential equations

Q: Solve the following equation by (Finite Difference Method), choose (h= 0.5) d?y + 2y = 3 ,y (0) = 0,…

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Q: Q2\Using the variation of parameter, find the solution of: y'+25y = csc 5x %3D

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Q: solve for y in terms of t or x, as appropriate.

A: The given equation is lny-30=5t.

Q: Solve by the subtitution method  x=3y+10 x-2y=13 (x,y)=

A:

Q: 3r dθ+4θ dr=r2θ3 dr (SOLVE USING NON-EXACT METHOD OR INTEGRABLE COMBINATION)

A: Given differential equation is, 3rdθ+4θdr=r2θ3dr

Q: 5. Solve, using the method of variation of parameters: a²y" – 2ry + 2y = x*e*

A: x2y'' -2xy' +2y =x4ex To solve: Using method of variation of parameters.

Q: where height = 3x – 1 and diameter = 2x + 4? * [A] V = 7 (6x² + 10 x - 4) (B] V = r (3x³ - x² + 12 x…

A: Height of cylinder = 3x - 1 Diameter of cylinder = 2 x + 4  To Find : Volume of Cylinder  Proof :…

Q: JV Solve using method of undetermined coefficents (D?- 2D+ 2)y = 24e*sın zx

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Q: Solve, using the method of variation of parameters: et y" – 2y' + y =: 1+x²

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Q: 2y"+18y=6tan(3t)

A: We have to solve the following differential equation using the variation of parameters,…

Q: Solve for i in terms of Ve, a, and d) V2=DV;²-2ad %3D

A: Do the mathematical operations for that.

Q: How Solve by using charpit's method ? o 2 Ans. u= 2ax +Vza y+ b

A:

Q: Solve the DE using the method of variation of parameters: x²y" – 4xy' + 6y =30x³, y(1) =5 , y’(1) =5

A: homogeneous system is  compare this equation with  so here we have

Q: Solve using the method of undetermined coefficients: y" + 3y" – 10y' = 2 + xe* %3D

A: Given: y''' + 3y'' - 10y' = 2 + xex

Q: Find the general solution using the method of variation of parameters (1) y" + 9y = 12 sec 3x

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Q: Solve y′ = t − 5ty using both separable and linear methods, and verify that your answers are the…

A: Given data:   The given differential equation is: y’=t-5ty.     The given differential equation can…

Q: Solve using the method of variation of parameters: y" + 9y = 12 sec 3x. %3D

A: Solution :-

Q: Q3. Solve for t ex* e2x+1 = et

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Q: solve The simultaneous eqjuation 2z tiw =d 7+(1+i)aw =3;

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Q: 3. Solve using the method of variation of parameters 1 y" + 3y' + 2y = 1+ ex

A: Solution is given below:

Q: Solve for the solution using variation of parameters: (D2-1)y= 2/(1+ex)

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Q: solve in R the inequation Vx +4 < x + 2

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Q: Q1: using variation of parameters to solve: * y"' – 2y" – 21y' – 18y = 3 + 4e-t %3D

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Q: j(x) = 2f(x + 1) + 4

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Q: Q2\Using the variation of parameter , find the solution of: y'+9y= sec3x

A: Particular solution by variation of parameter where W is wronskian of y1 and y2.

Q: y" – 6y' + 9y = :

A:

Q: Use the method of separation of variables to solve 2.xyU, +2U¸ =0, U(x,0) = 3e4**

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Q: Reduction of Orders 7.y" – 4y' + 4y = 10xe2x %3D

A: Note:- As per our guidelines, we can answer the first problem of these problems. Please resubmit…

Q: b. Solve by using the method of variation of parameter 3x y"-6y'+9y= y(1) = 1; y '(1) = 2

A:

Q: Solve for w T Submit 9w - 54 3w +24

A: Apply the property of circle

Q: Solve by using Newton Raphson method    f(x) = e²x – 5x – 1

A: The given equation is: fx=e2x-5x-1

Q: Solve, using the method of variation of parameters: 2?y" – 2xy + 2y = x*e*

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Q: Solve the equation: å oy = Esimpt t ezt-X %3D

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Q: Solve the given differnetial equation by undetermiend coefficents  y'' + 2y' = 2x +7 -e-2x   y(x)…

A: Given:-           The differential equation  is:…

Q: Solve the IVP by substitution. (3x2 - 2y2)y' = 2xy;  y(0) = -1

A: Substitute  x = vy and than solve using method of separation of variables.

Q: Solve for the values of “x" in the equation x+2y+y^2=3x-x^2+5, using Secant Method *

A: The secant method uses the formula, xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn) to perform the iterations.…

Q: Solve the given DE using the method of undetermined coefficients. (D² + 3D+2) y = 12x2

A: Let's find.

Q: 3. Solve using the method of variation of parameters 1 y" + 3y' + 2y 1+ e*

A: First I have find the auxiliary equation and using it find the complementary function and then by…

Q: Solve for the value of v. 105° (8v+3)°,

A:

Q: Use separation of variables to find an explicit solution. xyy' = 2xy 2 2 + y?

A: using seperation of variables  and then integrate....

Q: Solve using the method of variation of parameters y" + 3y' + 2y =: 1+ e*

A: Given that: y''+3y'+2y=11+ex

Q: Solve dy dy dr? + y = 2sin(3r) dr using the method of undetermined coefficient.

A: We will solve by undetermined coefficient method

Q: b. Solve by using the method of variation of parameter 3x y"-6y'+9y =;y(1) = 1; y '(1) = 2

A: Solving question number B.

Q: 2y"+18y=6tan(3t)

A: Given differential equation is  2y"+18y=6tan3t

Q: Find the general solution of the equation by the variation of parameters method: y" – 2y'+ y = x?e"…

A: Given: y''-2y'+y=x-2ex