~tu{S} o 1 In(y) dy de

Q: - Evaluate Lf²f²8x³yz dr dz dy.

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Q: | 4x' /2x* – 2x - 7 dx. Evaluate

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Q: J y sinh dy a

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Q: 2o Solve by veritadion oð jerameders m peramelers y"ty -secx

A: The given differential equation is y''+y=sec x              (i)

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A: Given :dvdz=e-xz

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A: Given To find Derivative of y= ln(xex)

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Q: Lincd dyldn In3 O log3 In fm 2) inx

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Q: JA 1 dx. /4-

A: ∫14-x2dxFormula∫11-x2dx=sin-1(x)+C

Q: 1. y = 5u°; u=7x – 4x' + 2x –9 2х-9 u +1. u=Vx? +1 y = u? -1' 3. x=7y -3y +y +8 2.

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Q: 16 Iny dy

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Q: уху + ху %3D 7, у"

A: x.y+x.y=7we know thatddx(uv)=vdudx-udvdxv2    and ddx(u.v)=udvdx+vdudxdifferentiate…

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Q: Order One DE xy'-2y=x3cos4x

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Q: 5. Comparison Test Determine whether the following integrals converge or diverge. dx

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Q: dy ax + ycotx = 1

A: dy/dx+ yCot(x)=1 It's a linear differential equation.

Q: Ex) Consider flx)=x^2", x= 1.7,2.0, 2.3,2.6,2.9 P foruard diff. central diff Backuard difp. find…

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Q: 6 ýx In x=y

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