A² (3e) = 3e* (eh – 1)²

Q: 5y' + xy = x2 + 5

A: We solve the differential equation by finding Integrating factor method. For the standard first…

Q: 13. et e* +yexy + (e” + xe*Y)y' = 0

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Q: 50 (e*-2)(e2x + 1) et dx

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Q: Ify (*+)(2x- dy -) (2x – 3), then will be dx

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Q: S(x + 1)(2 – x)° dx 7(2 - x)* - (2 - x)* +c 7(2 - x)* -(2 – x)* +c 3. (2 - x)* +(2 – x)* +c 금(2-x)*…

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Q: Find

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Q: 6)Differentiate h (z) = 5z-3/z+ log, (2z) - 10 + sin(6z)

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Q: 77. Use substitution with u = x² + 4x + 3, = (x +2) dx.

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Q: Solve for Rf   E(Ri) = Rf + [E(RM) – Rf] × bi             .1020 = Rf + (.1080 – Rf)(.91)

A: Given : E(Ri) = Rf + [E(RM) – Rf] × bi              .1020 = Rf + (.1080 – Rf)(.91)

Q: h(x) = 4(2x – 3)*(2x – 5)³ , find h'(x). Factor Fully.

A: Given query is to find the derivative of the expression.

Q: In (ax-1)dx

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Q: If y = 3 then dy/dx = 4+x O -6x/ (4 + x² )2 O 3x/ (4 + x² )² O 6x/ (4 + x² )2 O -31 (4 + x? )?

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Q: x²-3x - 7 √ - (x² + x + 2)(2x − 1) dx

A: Given: I=∫x2-3x-7x2+x+22x-1dx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: 3-J (х* + 2х 3) dх

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Q: (3) S x²Vx + 1 dx

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Q: x²dx х2—4

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Q: e3 3 -dx Find

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Q: 7) Find √ (1/1₂ + 3x + 2) dx

A: Given problem:- ∫4x2+3x+2dx

Q: how did this equation Hx = exp P (ny + ). ož = vi[exp (o,) – 1] turned into this equation 1 In Hy =…

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Q: 4) (y+*2)dx =xdy

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Q: Sn( Lin el0x=ydydx = In(5) fIn(3)

A: Given integral is ∫0ln5∫0ln3e10x−ydydx. We have to evaluate the double integral…

Q: S(x-ae )Vx² + 2e" dx -ах - ах 11.

A: Let's find.

Q: 2) S exp(ln(2)2*)dx

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Q: 9. dx J1 (3x²+1)3

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Q: 3 I= |(e* +x² + A\dx Дх 3D0, 25 1

A: Solve the following

Q: (2xe + e*)dx + (x² + 1)e'dy = 0

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Q: (b) 를/ dx 3

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Q: Compute the following. (a) P6, 3" (b) C5, 3- (c) P10, 10' (d) C11, 11"

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