olve the quadratic equation (1-v3 x +x+(1+v3) = 0, giving your answer in the form a+b13. where a and b are constants.

Q: The equation y² = cx is the general solution of

A: We have to find the differential equation.

Q: Compute the discriminant of  equation .What does the discriminant indicate about the number and type…

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Q: hat is the average of the two solutions of the abitrary quadratice equation ax2 + bx +c = 0

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Q: Which one of the following is a quadratic equation? Select one: O a.-z-5= 10z O b. 2 +3 = 10 Ocz+ 11…

A: In this question we have to find the quadratic equation.

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

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Q: Compute the discriminant of  equation .What does the discriminant indicate about the number and type…

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Q: Find the solution to the equation 4x2 + 5x = 2x + 2 -3± y38 -7± y17 8 X = X = 8 а. -3± V41 X = 8. С.…

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Q: Compute the discriminant of  equation .What does the discriminant indicate about the number and type…

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Q: y=Cie3x + C2e¯ 2x + x

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Q: Solve y" + y = 8(t – 7) – 8(t – 27), y(0) = 0, y' (0) = 1.

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

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Q: Solve by completing the square method: 4r2 = 4r + 1 %3D -1±y2 2 1+V 2 2 1+V 2 -2 O No real solution

A: Solve by completing the square method: 4r2=4r+1

Q: What is the possible values of b when the difference between the roots of the equation x² + bx +1=0…

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Q: (b) +V- 2y - 3t (0) -0 v(0) = 1

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Q: he general solution of y" +

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

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Q: Find all solutions of y'= 3y. Which solution satisfies y(0) = 9?

A: Given differential equation is y'=3y. To find all solutions of y'=3y which satisfies y0=9. Solution:…

Q: · y" = 4

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Q: Practice question 2

A: Consider the given equation

Q: 5. Solve, using the method of undetermined coefficients: y" + 2y' = 2x + 5 – e-2= %3D

A: First we shall get particular solution of y''+2y'=2x+5. Using method of undetermined coefficients y…

Q: Solve:  2x-y + z = 7 x + y - z = -4 x + 3y - 2z = -11

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Q: dP/dt = P - P2 ; solve by seperation of variables.

A: It is required to solve the given differential equation using separation of variables. dPdt=P−P2

Q: (b) Solve 1 y +-y= 0, t> 0. t

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Q: 2xyy′ = y2 − 2x3. Find the solution that passes through the point (1, 2).

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Q: The equation y2 = cx is the general solution of:

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Q: 1 For Exercise, use A = and solve for X. and B = -2 зв - А %3D - 2X

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Q: Compute the discriminant of  equation .What does the discriminant indicate about the number and type…

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Q: Y= (10x; + x, } (5x, + x}} 15

A: We have to differentiate partially to this equation:

Q: Consider the linear equation 3(x+1) = 3x + 3 Is x = -3 a solution to this linear equation?

A: Given data,                   3  x + 1  = 3 x + 3

Q: solve using variation of parameters: x''-6x'+9x=e^(3t)/t^2

A: The order of the differential equation is the highest order derivative present in the equation. The…

Q: az Solve (x² – y² - z²)p + (2xy) q = 2xz where p = əz II

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Q: ystem of linear equations, v

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Q: Find the quadratic equation given two roots using x^2 - (r + s)x + (r ⋅ s) = 0 1. 3 and 7 2. 4 and…

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Q: Write a quadratic equation that goes through the points (0,5), (2,1), and (1,2). y = ax2 + bx + c

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Q: solve 2 (pedoe tydy +2d₂) ² 2 = {(2²-x²=y²2) (seds tydy + z dz/d2} z

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Q: =). Solve the equation zxx = x² + xy² when x = 0, z, = y³ and when x 2, z = y. %3D

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Q: Solve in terms of t, u"""" + u"""' = 0.

A: Given the differential equation is u"""" + u"""' = 0.  Here the auxiliary equation is r8  + r7 = 0.

Q: Solve (x + 2)x 4 geometrically by constructing a line segment of length x .

A: We can expand it by multiplying x inside bracket then it is parabola equation then draw the parabola…

Q: Consider the linear equation: 3(x+1) = 3x + 3 Is x = -3 a solution to this linear equation?

A: Given equation is, 3(x+1) = 3x + 3

Q: Solve. Vy-15 +y 15 %3D

A: Given that        √(y-15) + √y = 15 We have to solve for y.

Q: z² (3+j5)z + j8-5=0

A: We have z2-3+j5z+j8-5=0' The solution of the quadratic equation az2+bz+c=0 is z=-b±b2-4ac2a Now, we…

Q: 2 y² 1 %3D 2.

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

A: Sol

Q: Solve. 2x2 - 7x - 15 = 0 3. O A. z = a = -5 2 %3D 3 O B. æ = I = 5 2' C. x = I = 5 2' O D. x = -- r…

A: Given: 2x2-7x-15=0 To find: The value of x

Q: Solve the given quadratic equation using the method of your choice. -3x = 722 +1 -3tiv19 14 -3+V19…

A: Answer is mentioned below

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

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Q: Solve the pollowing vyrtemr of equationN uring matricar a. ex tytz =4 X-24 +32=7 -3x tây-22=-10

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: y" – 4y' + 4y = x²e*

A: Here we have to solve the given equation using method of variation  of parameters. Where we use…