Solve by substitution: y = -5x - 31 %3D y 2x + 4 %3D O A. No solution B. (-3, -16)

Q: Solve the IVP. y/" – y – 12y = 0, y(0) = 3, y'(0) =

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Q: Solve the equation: xydx + (x² + y²)dy = 0 O y?(2x² + y²) = c O 2y(2x² + y²) = c

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Q: Find the solution. у" - 2y'- 2у %3D 0 y = c,e2-v3)! +c,e A 31 В +c,e¬V3, (c) D

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Q: Q.4. Solve: y" – y' + y = Vxe*

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Q: Solve the equation xy"+y'-5x³y=D0.

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Q: Solve the equation. -4y + 45 = y2 %3D y (smaller value) y = (larger value)

A: Simplification of the given equation helps to find the required value of y. The solution of the…

Q: (c) Solve for the general solution y' + (cotx)y = xcscx , Hint csc = cosec

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Q: Complete the solution. 20 m1/5n1. 20 20 m %3D m n20/4 II

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Q: Solve the equation (D² – 3D + 2) y = 2e¬* + 8 O y = cje2x + C2xe¯* + 4 + ze* O y = cje2x + cze² + 4…

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Q: Solve the second-order difference equation Y=2=7Yt=1 + 10Y, = 4t + 8t

A: We solve  Yt+2 -7Yt+1+10Yt=4t+8t........(1)

Q: Solve the equation y" + 4y = 5(t – 4 T), y(0) = 1/2, y'(O) = 0

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Q: (D5 – D³)y = 0

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Q: d) 50°

A: Given problem:-

Q: Determine the solution of the difference equation. Yk+2 - 2yk+1 + Yk = 0 2Ук+1 =D0 Yo = 0, yı = 1…

A: Let the homogeneous linear difference equation of order 2 be yk+2+a1yk+1+a2yk=0. To obtain the…

Q: Find the solution of dy r(1+ y?) dr 4+22

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Q: Find the solution. (D2+2D-3)y = 0 A y = B y = c,e- +cge²2 D

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Q: - (1+æ)y = xy?

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Q: 2) (D³ + 3D² 4D – 12) y = 0 -

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Q: Solve the equation y" +y= 5(t – 2 T), y(0) = 0, y'(0) = 1

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Q: Solve the equation below for the variable (m): y = mx + b

A: Solving for m

Q: . Solve the equation xy' + y = x*y³.

A: First we convert the given Bernoulli equation into  the linear equation, and then we find the…

Q: Solve y' – 5y = 0 A): y = qe5x B) y = ce2x

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Q: Solve the equation y" – 8y' + 16y =t-te*.

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Q: Solve the IVP: y" + y = 6(t – 2m), y(0) = 0, y (0) = 1.

A: y“+y=δt-2π

Q: Question in photo

A: given:

Q: Solve the diffrential equation:

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Q: Complete each step to solve the equation. 7y2 + 35y Jer + 5) %D 7y = 0 or = 0 y = y =

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Q: D. Solve the equation zx = x² + xy? when x = 0, z, = y³ and when x = 2, z = y.

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Q: plve for the solution for the equation:-y = x*y/% with the condition of y(2) = 5 ,1/3 da

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Q: Complete each step to solve the equation. 7y2 + 35y |)ov + 5) 7y = 0 or = 0 y = y = II

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Q: Solve the equation y = x²(2+ y), y(0) = 3. %3D

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Q: y= e500Xis a solution of 600x, Select one: a. y = 600y b. y = 800y %3D C.

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Q: Solve the equation (r°y³ + 1)d.r +r*y²dy = 0 Answer: r*y = -3 In |cr|

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Q: Find the solution. 2y" - 3y' + y = 0 -/2 (A y = c,e+ce' B y = c,e © y = c,e ot D y =c,e

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Find the value of x in the equation, 2x + j4y-3 = j3x – y – j10.

A: here we have given the equation 2x+j4y-3 = j3x-y-j10 we will compare the coefficients of power of…

Q: Solve by substitution: x + y = 1 -2x - y= 0

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Q: Solve y’’ – 4y' + 85y = 0, y(0) = 2, y'(0) = y(t) = - 41

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Q: Determine the solution(s) of the equation. 2m2 + 3m – 5 4 m2 + 4m - 5 %D

A: 2m2+3m-5m2+4m-5=4 2m2-2m+5m-5m2-m+5m-5=4 2mm-1+5m-1mm-1+5m-1=4 m-12m+5m-1m+5=4 2m+5m+5=4

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A: We need to solve(D2+4)y=0

Q: Find the solution. d³x d?x dx -2-=0 di + di A y =c,e+c y = c+ O y = c,+cc'+ce2

A: Given differential equation is d3xdt3 + d2xdt2 - 2dxdt = 0

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Q: solve using methods of undetermined coeff. and identify Yp . (D^2-25)y=xe^x

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Q: Find the solution. y'- y =y"e* A B D y

A: Solution of the differential equation

Q: Solve y' = 6xy - 2x, y(0) = 12 u(r) =

A: To Find:  Solution of given differential equation  y' = 6 xy - 2x , y ( 0 ) = 12  ( finding the…

Q: Solve for y. c =y-b = D

A: Given that  c=y-b  We have to solve for y

Q: Solve the equation  by variation of parameters. y′′ + 4y′ + 5y = 10

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.