Q6- By using Direct metheds solve the lineair algebric Equatione- 15 X + 3 y + 27 = 85 X - 2 y + 82= 5 2X + 1oy + Z = 51

Q: Q58- By using Frobenias mothecl Solve ovE 6x°(I -x)Y+ 12x² C1+x}ý -C21-x')y=o

A: Given: 6x3(1-x)y''[x]+12x2(1+x)3y'[x]-(21-x2)y[x]=0 To find: Frobenius method

Q: Solve for (x, y) using the method by elimination and by substitution. Then draw the graph and locate…

A: From the given equations: 4x+y=3  ...12x-y=9  ...2

Q: Q2) Solve the following equation Cauchy Euler Equation Method 2a²b" + 3ab'– 15b = 0 where, b(1) = 0…

A: Given- 2a2b''+3ab'-15b=0 where  b1=0,b'1=1

Q: Solve the particular solution (D2+3D+5)y = 5e-xsin2x using  D- operator method.

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Q: 3x − 2y  =  17 y  =  5 solve by graphing

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Q: V Solve using method of undetermined coeficents (D³+GD°+ 12D + 8)y =o when x=0, y=1, y'=-2, y"

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Q: Q5. Use the method of undetermined coefficients to solve (a) y" + 2y + y = x²e-". (b) у" — 2у + 5у 3…

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Q: Solve for x, y and find mZF. (5y) 70 (7x - 5) 45

A: Consider the provided figure, Find the value of x and y and m∠F. From the graph EY is transversal…

Q: y" – 4y' + 5y = 0.

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Q: solve the DE y'' - 5y' + 6y = 32xe2x, y(0) = 1, y'(0) = 0

A: *Concept:- the give differential equation is Linear differential equation of higher order with…

Q: Q1. Verify that y= is a solution of the DE -20t y + 20y = 24 %3D

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Q: 3. Solve using any technique y" – 2y/ – 3y = 3e",; 7 ", y(0) = 3, y'(0)

A: We have to solve given problem:

Q: 6. Solve the equation x²y" – 4xy + 6y = 21x¬4 using variation of parameter method. - %3D

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Q: Q2/ A/ Find the equation of straight line passing through the point (1, 2) and parallel to the line…

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Q: Q1 Using a method of reduction to separable equation and reduction to linear equation, find the…

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Q: Solve  2x + 3y = 11 and  2x -  4y = - 25 And hence find the value of m for which y = mx + 3

A: The set of equations is given as, 2x+3y=11…………(i)2x-4y=-25………(ii) Apply Elimination Method, Subtract…

Q: du Solve the equation "u(0, y) = 8e» = 4. by the method of separation of variables.

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Q: Find the solutions of the equation in the interval [-27, 2n]. Use a graphing csc(x) = V7 %3D

A: RECALL:  All trigonometry ratio are changed at 90 and 270 degrees . All trigonometry ratios are…

Q: |-Sx-y--18 -4x+y=-18 27. Solve by elimination. Express your answer as an ordered pair. a. (4,-2) b.…

A: To find the solution of the given two equations by elimination method.

Q: Q4/Find x and y that make the equations equal to zero: 5x+2y-4=0 6x+8y-2=0

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Q: Q2/ solve to find y and x, take y(0)=0 and x(0)=0 ý + y- 0.5x = 0.5 %3D * + 0.5x = 0.5

A: For the equation x˙+0.5x=0.5 or dxdt+0.5x=0.5 calculate IF: IF=e∫0.5dt    =e0.5t

Q: W/Solve the follow ing syatem of nonlinear equation using Direct methods. 2x +y2-6 0 x+2y-3.5=0…

A: Given equation is                                       ellipse, 2x2+y2-6=0straight line, x+2y-3.5=0…

Q: Solve the nonhomogeneous equation using the method of undetermined coefficients: y" – 2y' – 3y = 4x…

A: First we will find the complementary solution using the roots of the auxiliary equation then using…

Q: Solve by the addition method. (If there is no solution, enter NO SOLUTION. Use the parameters x and…

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Q: 2. DEFC is a trapezoid. Solve for x, Z1,2,23andZ4. 2x + 8 70 C 85 10r + 4 20r – 2 3. MNPQ is a…

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Q: Solve he lineal equation it possible Oy toz 20 3x

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Q: 8- By using Diret metheds solve the linear algebric Equation e- 15X + 3 y + 27 = 85 X - 2 y + 82= 5…

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: 2.ryy' = y? - 2x. Find the solution that passes through the point (1,2).

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Q: Solve the IVP y' = [, y+,yc0) = [2]. [et y + -1 3.

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Q: Solve Q.) by Using Variation of Parameters method : 4ý+36 y = csc (3x).

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Q: (4) slve: D 3D-6D+8 =x 4x cCe y ce+y(て) =Ae + Be

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Q: Solve the diffrential equation:

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Q: Solve by the addition method. (If there is no solution, enter NO SOLUTION. Use the parameters x and…

A: Given,  The system of equations  3x+7y = 25  4x-3y = 21  We have to solve the system of equation…

Q: Solve method of undetermined coefficients using (D+AD+8)Y 3X t, z 13e +50X when x-0, y=0, Y=D0 ゾーo

A: Given that, D2+4D+5y=13e3x+50xwhen x=0,y=0,y'=0

Q: Solve the nonhomogeneous equation: (D2-4)y = 2 –8x, when x=0, y=0, y’=5, using undetermined…

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Q: Q.4 Use the method of separation of variables to solve 2.xyU, +2U, = 0, U(x,0) = 3e %3D

A: Standard quasi linear  partial differential equation is given as: p∂u∂x+q∂u∂y=r  Lagrange method for…

Q: 3. Solve, showing details: y₁ = 4y2 + 5et y2 -V1-20e-t yı(0) = 1, y2(0) = 0

A: Sol

Q: Obtain the general solution. (D^3 - 4D)y = 0 when x = 0, y = 0, y' = 0, y'' = 2

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Q: Find the solution of the this differantial equation. y''' = 5sin2(2x)

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Q: Solve by the method of undetermined coefficients.   y′′−y′−6y=50cosx

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Q: Solve (4D² + 5D + 1) y – ' for y, using the method of undetermined coefhcients.

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Q: Revolve y=x2 , y=1, and x=0 about x=2. Solve with both the shell and washer methods.

A: Using shell method and washer method, volume is evaluated.

Q: Solve the IVP: ty" - ty' + y = 2+u₁(t)8(t-2), y(0)=2, y'(0) = −4.

A: Introduction: When an initial value problem is provided, we use Laplace transformation. This method…

Q: 5. ( : Solve the IVP: r²y" = (y)², y(1) = 1, y'(1) = 1.

A: A differential equation with an initial condition is called an initial value problem. The initial…

Q: Using a method of reduction to separable equation and reduction to linear equation, find the general…

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

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

Q: y" – 4y = 4e -

A: The non-homogeneous part of the differential equation is 4e3x, so by the method of undetermined…

Q: Solve using back-substitution. (2x + 3y - z+w = 24 y+z=w=2 3z + w = 7 5w = 20 What is the value of x…

A: Solution :-

Q: Solve Q. by Using Variation of Parameters method : 4ý+ 36 y = csc (3×).

A: