2y (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above dy dx X ==+ + 1 y separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above y dy + 2x³ + y² = 0 x² dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (m) (n)

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A: Consider the given function

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A: Use the following formulae, to evaluate the given integral.…

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A: 9.∫ln(e)0ln(e)ex(t2+1)dt=x∫0e(t2+1)dt10.∫012xdx≤∫01x dx11.∫131xdx=∫151xdx+∫531xdx

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A: ∫y=00∫x=0y∫z=0x+y2x+y-4z dz dx dy Now, ∫z=0x+y2x+y-4z dz =x+yz-2z2z=0x+y2 =x+yx+y2-2x+y22…

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A: In this question, we need to solve the given ODE.

Q: b 2 1+(- dx dy² dx, X y= e у3е ,0<x<1 а Use COMPOSITE Simpson 1/3 rule. Use nine nodes

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Q: If (2xy?+4) dx +2 (x*y-3) dy = 0 then ƏP/ay # ƏQ/ax *

A: Given: The equation is, 2xy2+4dx+2x2y-3dy=0 And ∂P∂y≠∂Q∂x To find: Whether it is true or false.…

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A: The given differential equation is  1+lny-xy dx + xy+x22y2+3yln2y dy =0   ;  y(2) =1 Compare with…

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Q: dy If y = 10**-1, solve for dx dy = 2x(ln 10)10*²-1 dy = (In 10)10*²-1 dx dx Option 4 Option 1 dy =…

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Q: y²dx + (3xy + y² − 1)dy = 0 ex + Iny + dx + ( + Inx+ siny) dy = 0 2)

A: (a)

Q: The total differential of the function: z=x*e3y . .A dz = 3x "e3Y dx +4x³e3Ydy. .B dz= 3x"dx +e3ydy.…

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Q: 6. dx = x + 4x + 5 (A) arctan(x + 2) + C (B) arcsin (x + 2) + C (C) In|r*+ + 4x + + C 1 (D) + C x° +…

A: Proceed as shown below...

Q: (x* thg -x)dx+(xy+2y-2y)dy=0 denklemi birinci mertebe, birinci derece ve lineer bir denklemdir.

A: First order, non linear ordinary differential equation. Solve by substitution.

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Q: The solution of * x² +3y² dy/dx= 2ху In y=In (1+y^2/x^2)+C none of each other O x= (1+y^2/x^2)+C In…

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Q: Q2: choose the correct answer If y = t^2/(t^2+1) and t= v(2x+1) the dy/dx

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A: 1.

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