dy x(x+ 1) Solve and find the particular solution when y(1) = 3 %3D dr

Q: 02u 0t2 = аг 02u ?x2

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Q: y" +y' – 2y = 4e* – 2x

A: We have the given differential equation is y''+y'-2y=4e-x-2x2     …..(1) The auxiliary equation for…

Q: How would i do this question using the seperation of variables method?

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Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

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Q: Integrate (2x + 5)(2² + 5x)² dr Select one: O A. (²+5x) + C OB. (2²+5x) + C OC. (x² + 5x) + C OD.…

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Q: Find the General Solution of (D² + 5DD' + 6D²)Z = 10 cos(x – y)

A: Given partial differential equation is D2+5DD'+6D'2Z=10cosx−y. We have to find the general solution…

Q: Solve for x for 5y+2y=14-6x

A: We need to find an expression for x in terms of y of the given expression 5y+2y=14-6x.

Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

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Q: What is the separated form of this DE? X cas y dx t tany dy

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Q: xy' +2y = x* -x +1 %3D

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Q: 5sin 20 – 16sin0+3=0

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Q: If x^2 + y^2 =14 and x+y=6, find xy.

A: Solution :  Given that   x2 + y2 = 14    ---(1) and  x + y = 6   ---(2)

Q: Find * L-1{ 52-4s+13

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Q: (у — сos-x)dx + cos x dy %3D 0

A: The given equation is y-cos2xdx+cosx dy=0 rewrite it as y-cos2x+cosx…

Q: x²+3x X-4 Multiply and simplify: x2-3x-4 x

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Q: Vz? – 25 4. -dz

A: use substitution method for solving the integral.