Q33. Solve the differential equation 5 xz (a) y3 = +c 5 (b) y³ = + c 1 x√x 5 (c) y³ = √x + c< 5 5 (d) xy³ = = x² + c< x dy dx y 5 3 + 5y3 13 = 3x

Q: (c) J xe0.4x (0.4x + 1)2 d dx

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Q: Solve for y: O y = Oy = x = 4ln(y - 8). 1 4 ln(x - 8) x+8 4 O y = e-4x + 8 O y = 4 ln(x - 8) Oy =…

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Q: d5y - 2 dx5 d³y d?y - 2. dx3 dy - 2y = 0 dx2 dx

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Q: Solve: (xy – 1) dx + (x² - xy) dy = 0 %D |

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Q: SOLVE FOR CL is constant : A² jª (a²-2₁²x² + x²) dx = 1

A: The given integral is A2∫-aaa4-2a2x2+x4dx=1. We have to find the value of a.

Q: Solve the first order equation (3r²y + 2ry)dz + (z³ + x² + 2y)dy = 0.

A: In the given question, the concept of the differential equation is applied. Differential Equation A…

Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)

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Q: 3x+4x+1 6. J x-x+4x-4

A: Indefinite integration

Q: Substition Simple Ing (x + Iny) dx = (x²) dy-0 III Solve using

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Q: 2e2x) when x=0 and y=3. dx Compute

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Q: solve (x + y − 1)dx + (y − x − 5)dy = 0.

A: According to question, Given differential equation, (x + y − 1)dx + (y − x − 5)dy = 0.

Q: 1 e2x + 5ех 4 e2x + 4ex

A: Given: ∫ 14e2x+5exe2x+4ex dx= 14∫ ex+20ex+4 dx    (Multiply and divided by e-x)

Q: (а) Consider the following equation: xy dy – (3x² + 4y²) dx = 0 | (1) State the order of the…

A: Questions from differential equations.

Q: 2. S (2x-5)dx x2-5x+3

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Q: Solve th D.E using Exact (6x² – y +3)dx+(3y – x – 2)dy

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Q: Solve (yz + хуz) dx + (zx + хуz) dy + (ху + хуz) dz =

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Q: x (х+1) dw solve for dx W 2х-1

A: The Quotient rule: fg'=f'·g-g'·fg2 The product rule: f·g'=f'·g+f·g' Given: w=xx+12x-1

Q: dy y 5. Solve dx 5(x-2)y2 %3D (х- 2)

A: We first convert the given differential equation into the linear differential equation, then solve…

Q: 1 dx x2 + 9

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Q: •1 fl-x r4-x²-y 16. x dz dy dx 0 Jo 3

A: See the attachment

Q: dy (d) 3y(x2 – 1) + (x³ + 8y – 3x) dx 0 =

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Q: Solve 1- (x³–3x²y)dx – (x³-³)dy = 0 %3D

A: To find: The solution of differential equation x3-3x2ydx-x3-y3dy=0. Formula used: Integration…

Q: 4 3 + kxy¹ − 2x)dx + (3xy² - 20x²y3³)dy = 0

A: Topic:- differential equation

Q: Solve y(y ³-x) dx + x(y² + x) dy=0 A B 2xy²-x²=cy² D 3 3 2xy ³ - x²=cy ³ © 2xy³-x²=cy² (C) 2xy³ – x³…

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Q: x² + 1 V3x +1

A: ∫x2+13x+1dxlet u=3x+1dudx=3dx=13dux2=u-129

Q: Solve: (3x? – 2xy+ 3y² )dx = 4xydy O (y – 3x) (y + x) = Ca³ O (y + 3x)³(y – x) = Ca³ O (y – 3x)(y +…

A: Proceed as shown below

Q: (#9) S x2 dx V16-x²

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Q: Find d3y dx3 of y = x³e-x

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Q: (x²-3y2) dx + 2xy dy =o

A: To solve the following differential equation.x2-3y2 dx+2xy dy=0

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Q: Solve x(dy/dx) - 4x2y + 2ylny = 0

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Q: dy Solve = dx 2-y 2-x

A: To solve the given differential equation

Q: O Solve (ex+y)dx+(2+x+ye¹)dy=0

A: The given problem is to solve the given ordinary differential equation. We have to the exactness of…

Q: 353. y = x-1/2 (x² + 3)2 (3x – 4)ª

A: First, we expand the given expression using properties of logarithm