9 of 30 dy *y-23a y7 is a first-order homogeneous equation. The ODE da aty5 +3y0 – 82º اخترأحد الخيارات as O

Q: Differentiate. y = In (6x? - 5x + 3) y' =O

A: Given: y=ln6x2-5x+3 We know that ddxlnx=1x…

Q: Write down two linearly independent solutions of the Bessel equation 16x?y" + 16ry + (162 – 9) y =…

A: The given differentiate equation can be written as:

Q: solve xsinydx+(x2+1)cosydy=0

A: Given differential equation is: x siny dx+(x2+1) cosy dy=0 Use variable separable method to solve…

Q: Eliminate the arbitrary constants of the equation y = Cje 2x + A y" - 2y' - 3y = 0 B y" - 4y' - 2y =…

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Q: By Lagrange's formula, prove that y =y3-0-3(ys-y- 3) + 0-2 (y_ 3 -y_5).

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Q: LUse the method of undetermined coefficients to solve dx 5x + 9y + 2 dt dy -x + 11y + 6 dt

A: Consider the provided question,

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Q: A suitable substitution to transform the L 0² r' = r? + 2r 0² into linear equation will be: 0-2 rー1…

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Q: sinx

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Q: how did this equation Hx = exp P (ny + ). ož = vi[exp (o,) – 1] turned into this equation 1 In Hy =…

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Q: Find ds/dt if 3t + 3s sin(3t) + 3cos(t) %3D

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Q: Solve ,  y" - 5y' + 6y = 0

A: We have to solve  y" - 5y' + 6y = 0 (D2 - 5D + 6)y = 0 The auxiliary equation is  m2 - 5m + 6 = 0

Q: Eliminate the arbitrary constants A and B in the equation y = Acos5x + Bsin5x. O A.y" - 25y = 0 O…

A: Solution :  Options (B) is correct

Q: Which of the following equation is a variable separable DE? a. (x + x^2y) dy = (2x + xy^2) dx b. (x…

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Q: Solve for the general solution of (D: - 1)y = sinx using variation of parameters y = cje¯* + ¢ze*…

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Q: Find dx (e3t + 1)dt. -cos(3rx)

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Q: 2 x²e¬2® dx. Compute

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Q: Find the complete solution of dy + ydæ = 2ry e" da 01= ye" (C- z) 01=yle(C-') O1= ye" (C + z*)…

A: we have to find the solution of  given differential equation.

Q: Question 34 - 41: Find d-y/dr2: 34. y 7r'-5x +r

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Q: Eliminate the arbitrary constant for y = 4 + Cje3 Oy' + 3y + 12 = 0 Oy' - 3y + 12 = 0 %3D Oy" – 3y +…

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Q: Eliminate the arbitrary constant a from the equation (z - a) + y = a O = + 2ry' O = + 2ry Ov =+ 2ryy

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.