S y³Vy² + 4 dy 2

Q: | (3z + 4) dy 2.

A:

Q: y" + 2y' – 15y = e3x %3D

A: We find particular integral by inverse operator

Q: 2 y+ 3 dy y + 5y + 6

A:

Q: 2"(5 – y)°dy

A:

Q: 1.y" — у' — 2у 3D 7sinh3t — Зcosh3t ; У (0) 3 2, y'(0) = 4

A: The given differential equation is y''-y'-2y=7sinh3t-3cosh3t; y0=2, y'0=4. Calculate the values ys…

Q: S 72y3-3y² (y² – y)dy

A: We have to evaluate the integral ∫72y3-3y2 y2-y dy

Q: 3 (Y= メSx

A: Giveny=x3(5x2+1)-23 To finddydx

Q: 2r 20. y4y+13y = re² +

A: Here we have to find the general solution of the second-order differential equation…

Q: Evaluste for 2: 0SIS1,0Sy s3. dr dy .

A: The sum rule of exponent states that ap+q=ap·aq. Use the sum rule of exponent to simplify the…

Q: y² (y + 2)ï dy

A:

Q: 1 | y/35y² dy 2

A:

Q: 1 (y– 5)³ dy 9. y3

A: we use substitution method to solve this integration

Q: dy 2×ゴー4コ %3D ブメ

A: Since you have posted multiple questions we will solve only first one for you. If you want a…

Q: 3 [*² [b³ – y³]² dy

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Q: Xy +Sx+5?= 2

A:

Q: D²y – 6Dy + 9y = e3x – e* - ex

A:

Q: 19.(D³ + 36D)²y = 0 %3D

A:

Q: y" – 3y + 2y = e5a

A:

Q: - y² dy 3y 50.

A: Simplify the expression and integrate it.

Q: S y(3y + 2)*dy =(3y² + 2)5 +C

A:

Q: 2y*+1 dy 3

A:

Q: (x³y³Xx³y²) x¹'y TO

A: Given problem:- x5y3x8y7x4y10

Q: 1 dydx 4+ y³ 0. 2.

A:

Q: dy y16y² - 1

A: Consider the given integral:

Q: | 2y13-2y? dy?

A:

Q: (y³ + kæyª – 2x) dæ + (3xy² + 20x²y³) dy O 20 O 10 O 5

A:

Q: z 1 dz 54. z(z 4)

A: Partial fraction:

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: (y + 4)(y² + 8y}Vy² + 8y – 1 dy

A:

Q: (3e3ty-2t)dt+33tdy=0

A:

Q: Find dy. y= (4x*+3)/2

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Q: 4y2 У(у + 2)(у — 3) "У 7у — 12 dy '2

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Q: - dy (y + 4)(2y – 1)

A:

Q: 3.y" + 6y + 8y Pros Зе 2х + 2x

A: Let's solve given diffrential equation.

Q: Evaluate the integral.

A: Given: I=∫124y2-7y-12yy+2y-3dy for evaluating given integration, we first simplify given expression…

Q: Evaluate V1 + z²dz dy

A: In this question we have to find the double integral. We will use the technique of change of order…

Q: s 130 ys 170 y 2 0 V V N N + +

A: the linear programming problem is as follows  maximise z = 2x+1.25y subject to…

Q: [y(8y² -5)dy 4y* -5y? +5 1.

A: We can find the answer as below

Q: y = In(x² + 4)

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Q: y - dy (y + 4)(2y – 1)

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Q: 4y2 – 7y – 12 dy 17. \ y + 2)(y – 3)

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Q: 3 dy 2. 1+ 9y

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Q: 4y" + y' + 5у %3D 0 у (0) 3 2 y'(0) = 1 у" (0) — —1 %D

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Q: dy さ、 2xy²= 二

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Q: |z|z dz,

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Q: S x 3y q 5x 2y 7

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Q: © (DS+ 3D4+3D³+D²)y=0

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Q: y² (y + 2)ã dy

A:

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

A:

Q: 1 y dy Sza 3 (a²-y²)²

A: