6. Solve y"-5y = 2x - 4x-x+6

Q: Зх +8 (y-3x) dydx y + 5x —1 ) — 5х (y – 3x)"

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Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

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Q: = x² – 6x + 13, y = Inx, x = 1 ve x = 5

A:

Q: Solve for y zu 1. In y = 4x - 2x +3 %3D

A: Here, lny=4x2-2x+3

Q: 4. Šolve Člairaut equation y = xy' – 2In(y' +1)

A: The given clairuat equation y=xy'-2lny'+1 s the first order nonlinear ordinary differential…

Q: 5.The sum of two positive numbers is 16. What is the smallest possible value of the sum of their…

A: Let's find two numbers & smallest possible value of sum of their squares.

Q: Solve the dff oq 2. 3. 3. %3D 1

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Q: 13. y = A²x' - 3Bx %3D (x) ans : y' = 34A²X² - 3B %3D (x)

A: Given: Y(x)= A2x3-3Bx Differentiate y(x) with respect to x

Q: Solve using MUC. y" +4y=3sin2x 3+3+5+ y = C₁ cos2x+ C₂sin2x - -Xcos2x 4 y=C₁ cos2x + C₂sin2x +…

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Q: 2. Solve  x+2y+z=1 2x-y+2z=2 3x+y+3z=3

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Q: 2 Consider the hypocycloid with equation y 3 +x3 =73 2 2

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Q: Solve Ytt = = 4yxx 0 0 Yx(0, t) = 0, Yx(1, t) = 0, Y (x, 0) = 0, y(x, 0) = 3cos(2nx)

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Q: Find y (2) ify=/4x+1-

A: Given:- y=√(4x+1)  To find:- y''(2)

Q: 31. If 9x² = y(y – 3)², show that (y + 1)² ds - dy². 4y

A: We know that Given Firstly, we find dx in terms of dy

Q: 9) (3x-29 +2) ex+(39-2*-2) dyzo

A:

Q: 3. 31 √ √(²x- (2x - 4y)dydx 1 -1

A:

Q: 20053x-1-0

A: in problem (b)   2cos2x - 1 =0cosx = 12

Q: 2. = dy (-5x + y)² – 4

A: We need to solve the differential equation by substitution.

Q: S,(2x-y)dxdydz

A: Consider the integral: ∫12∫0z2∫0y-z2x-ydxdydz

Q: Solve x = x + 2y and y = 2x + y with x(0) = 1 and y(0) = 2.

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Q: у" + Зу" + Зуy' + у %3D 30 е -х

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Q: 4y² – 25 -dy

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Q: Solve 1) y" + y' – 6y = x2 2) y" + y' – 6 = tx Where t: constant

A: (1).   The given differential equation is:  y''+y'-6y=x2 The characteristic equation of the…

Q: 1 dydx 4+ y³ 0. 2.

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Q: ve : (2a²t – 2æ³) dt + (4æ³ – 6x²t + 2æt?) dæ = 0 | x - c 2x* + c 4 Option 1 Option 2 4x* + c a* +c…

A: Solving the differential equation by grouping of terms.

Q: dx V3-2x-x2

A: Explanation of the answer is as follows

Q: 2) Solve ² y' = y(0) = 1 %3D 2 y+ 1 '

A:

Q: Solve S(y + 1) + S(2y -5) = 3

A: Given equation: y+1+2y-5=3 Concept: Here we shall first remove the root by squaring both sides.…

Q: 7. Solve: dy x + 3y dr 3x + y

A:

Q: How to create cubic equation (y=ax^3+bx^2+cx+d) using the points (0,0), (1,1) and (2,4)

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Q: 3 If y=/xL5x²_36 x²_3x²+Yx-12 (3 14 shuw that dy 24 dx4

A: firstly simplifying these expressions then , use the concept of differentiation

Q: π 9- y² dy y 2 π 6.

A:

Q: 32. In y = 2y² - x; (2, 1)

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Q: у4у? -16у +19 dy (y-2)°

A: This indefinite integral can be solved by the substitution method.

Q: Solve for y. (4y + 7)* 13x + 15 19x - 15 (10y-37)'

A: 1) Opposite angles of a parallelogram are equal 2) Sum of all the interior angles is 360 degrees. In…

Q: Solve xy''+(6-x^(2))*y'+(4/x -3x)y=0 near the point x_0=0

A: Given - xy'' + 6 - x2y' + 4x - 3xy = 0 To find - Solve the given equation near x0 = 0

Q: Solve: y" + 4y = 8csc2x O y = C1cos2x + C2 sin2x + 4xcos2x 2sin2xln(sin2x) O y = C1cos2x + C2 sin2x…

A: The solution is given as

Q: In x y of y = 3

A: Find your answer below

Q: Write down a solution to y' = 4(y − 5) that tends to −∞ as t →∞.

A:

Q: Solve for x and y. 4. 5. 6. (7y - 3)° (3y + 13)° 50 4y (4x – 10)° (2x + 12)° (2x + 3)° 2x 3y

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Q: Differentiate x²y3 - y2-6x=0 with respect tox. A 3x²y2-2y −6+2ху 3 2х3у2-2y - 6 6-2xy3 3ху2+у В С D…

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Q: Solve y′′ + 3y′ + 2y = u_3(t)

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Q: - eliminU1 stem of equato y=2t 「し 3x-) 3D3 X+ 2y =3

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Q: Solve:  2x + y = z4x + z = 4yy = x +1

A: Plug y=x+1 in the first equation.

Q: Solve for y. y  –  3 4  =  3 4

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Q: 1.у %3D 5e2x 2. y = ex²+2x-1

A: The variable y' represents the derivative of the function. Differentiation of the function helps to…

Q: Solve (20) x2y′′+xy′+y=0.

A:

Q: solve for y: x - 3y = 6

A: Ans : On solving for y = ?  From question ,Given that an equation to solve ;     x - 3y = 6

Q: Evaulate: •2 •1 px+y (2y)dzdydx 0 Jo Jo

A:

Q: 04: Show that y = 35x - 30x +3 satisfies (1-x)-2+20y = 0 da

A: We have to show y=35x4-30x2+3 satisfies 1-x2d2ydx2-2xdydx+20y=0

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.