dx (5х+1)°

Q: par y) В. х2 + у2 С. sin (3x — у)

A: Which of the following equations are solutions to the partial differential equation

Q: cos z) dz 4 5.

A: Given: - The indefinite integral is, ∫e2zcos14zdz To find: - The solution of the given integral.

Q: ƒ7 In ()dx if sec¹ (3x) dx

A: Integration by parts: ∫f(x)·g(x) dx = f(x)·∫g(x) dx - ∫ddxf(x)·∫g(x) dx dx

Q: solve dy/dx

A: Given: y=log57x3x+2ln(5)To find : dydx=?Formula: (logax)'=1x ln a

Q: | (6x + 4) cos(3x +2) dx COS

A: Solving the given integral.

Q: 03 Solve by Using be ta function -2/3 (-)" dx

A: (3) We have to solve the integral ∫01x−231−x12dx using beta function. The exponent -23 can be…

Q: :. Solve f eª sin(x)dx

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Q: x³ dx

A:

Q: 4 4 3 Simex.(Sinメ-4). ( Smメ+4) dx CScてメー Cotてメ

A:

Q: -dx х2-1 2,

A: we have to perform some mathematical operations to solve this, then using partial fraction to get…

Q: 5 dx 3. dx, x> 25x2-9

A:

Q: 14) fx In(4x) dx

A:

Q: Evaluate the integrals

A: We have to evaluate the integrals :  43)∫π4π2cosec4θdθ 44)∫sec6(x)dx

Q: Evaluate. d 2 dx

A: Use the power rule of the derivative, ddx(xn)=nxn-1 And, the linear rule of the derivative,…

Q: Solve in variation of parameters y´´ + y =cscx

A: Given differential equation is: Solution of differential equation is sum of complementary function…

Q: Please solve number 8. Show the complete details of your solution. Enclose your final answer.

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Q: dy Solve dx ex +

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Q: ex dx 25. - ex+1

A: ∫exdxex+1

Q: Solve the equation. dy dx

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve f 4x cos(3x) dx using Integration by Parts.

A: This is based on integration by parts

Q: Evaluate. 4ljarcsin(4z)] d dx

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Q: Solve S(cosa{x – +)<(1 + +) dx -

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Q: 2 S tan"(3x 1)sec (3x 1)dx - |

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Q: dy + (secx)у 3 dx 10 secx + taпх

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Q: r2+vZ 1. =dx |4x – x²

A:

Q: )xsin(x?) dx

A: The given integral is: ∫0πx sinx2dx To integrate this, consider x2=t  .... (1) On integrating both…

Q: In(ere + 12) dx Xet

A: Given : ∫x2ex2lnex2+ 12dx

Q: 9.) y(4) + 2y" +y = x² sinx

A:

Q: x*dx 1. - (16-x)

A: The solution of the problem is given in the next step.

Q: sech x dx , 0 < x < 1

A:

Q: solve y′′+ 9y = sin^2(3t)

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Q: ∫sec^2(x)dx

A: The given integral is ∫sec2x dx

Q: how to solve this equation using variation of parameters.    y'' + y = tanx

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Q: 9. dx V25+x2

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Q: 3. (x + y – 4 ) dx – ( 3x – y - 4 )dy = 0 , when x = 4 , y = 1

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Q: sec“ x (Vtan3 x +1) dx (Vtan3, Px+1) 4

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Q: #1. ( sin2r #2. rp- sinz 13. L #4.

A: To solve the given integrals we must know about the power rule of integration and trigonometric…

Q: 2. y +4 dy

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Q: 1. y = (5x + 2) (3x² + 7)7

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Q: i) Solve: (1+ yNdx = (tan-y- x)dy. %3D

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Q: Solve ,  d/dx (e^x sinx)

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Q: sec²(/x) dx 38.

A: According to the guideline we should have been able to solve only one question at a time #38

Q: dy - 2x + 5 y --(1) dx 2x+ y

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Q: X 4 e =dx 1

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Q: 3 dx 3 X´ – 1

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Q: Solve tan(2x) + v3 = 0, where 0 < x < 2.

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Q: Je sin( -4x)dx 3r Su

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Q: solve for general solution y''''=5 sin x

A: The given equation is y''''=5sin(x). The given equation is equivalent to D4y=5sin(x). Consider the…

Q: 1 dx, x3 – 1 (b)

A: a3-b3=(a-b)(a2+ab+b2) first we will do then partial fraction then calculate the integration.