За3 + 3x? + +1 dx (За2 + 1)

Q: The general solution of y" – 4y + 4y = 0 is O y = Ce2t + C2e-2t -2t y = C1e2t + C2te O y = Cit +…

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Q: Find the particular antiderivative that satisfies the following conditions: g (x) = 2x?; g(-1) = 4.…

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Q: What is the particular solution of ryda * = 0 and y = 1? (z +2) dy = O when %3D |3D O 4e y(z + 2)?…

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Q: What is the general solution to 3yy' – x² = 0 for æ > 0? O y = a3 + C2 O y = '음교3 + C2 9. O y = /žæ³…

A: using variable separation method,

Q: 3 -1 -1 -REE-B) -2 3 2 x + 4 -1 -2 3. Find a particular solution of x' =

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Q: 1 (2) Suppose that g(x) is an antiderivative of and g(1) = 3. 2 Va3 What is the value of g(4) ?

A: Given:        Let fx=-12x3     g(x) is the anti-derivative of f(x).       By anti-derivating  the…

Q: Use an appropriate substitution to integrate 12x³(x++1) °dx .5 A 3x4 +x (x++1) 10+c 10 B u 10 10 D)…

A: Topic = Integration

Q: Find (a) the general solution and (b) the particular solution for the given initial condition. 9 y'…

A: The given differential equation is:y'=9x+x2-4x4,              y(1)=-4

Q: Find the general antiderivative of f(x) = 4x 4 - 6 T + C

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Q: Use the IVT to show that e−x2 = x has a solution on (0, 1).

A: Given equation is

Q: Find fiff"(x) = 12x² + 6x − 4, f(0) = 9, and f(1) = 3. - Solution The general antiderivative of…

A: The given derivative function is .The aim is to find the function .