Find solution to hon-homo geneous heat problem ut = Uxx + Cos(HX) ; +70 17X70 u(x,o)= f(x); OLX

Q: Differentiate. ax + b f(x) %3D Cx + d f '(x) =

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Q: max value for y

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Q: Find f. f"(x) = −4+ 8x - 12x², f(0) = 4, f'(0) = 12 (Prob. 1,

A: Consider the derivative function and initial conditions, f''x=-4+8x-12x2,f0=4,f'0=12 The objective…

Q: Find dy/dt and d^2y/dt^2 for function aln(y)+b cos^2(ty)=2t^3 where a  and b are certain constants.

A: Derivative two times simultaneously and use the forma for derivative

Q: Find f. f"(x)  =-2  +12 x -12 x2   , f(0)   = 4 ,f'(0)  =12

A: Given ,f''x=-2+12x-12x2f0=4f'0=12

Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

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Q: If y=+*+9x²+26x+24 gấp 46 find f'(2).

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Q: If f(x) = X = x-9 x+3' where is f not differentiable?

A: Important point regarding rational function:-If function is a rational function then it is…

Q: Suppose A is changed to A' .How large a relative change can this change produce in the solution to…

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Q: what is the general solution of x tan²y dx + (1+√x) dy =o

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Q: (2x+3)5

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Q: -1 Ax) = 7xsin (x) f'(x) =

A: SOLUTION-

Q: If f(x) = x cosh then f'(9) = 1 ¹() x²-9

A: The given function is

Q: Find f    if  f'(x) = 7x9 − 5 √x + 3 sin x,   f(0) = 4

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Q: Set up the appropriate form of a particular solution yp of the dif- ferential equation…

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Q: Find a particular solution y'''-y''-4y'+8y=6xe^2x

A: y'''-y''-4y'+8y=6xe^2x Particular integral = 6xe2x 6xe2xD3-D2-4D+8By using property shift F(D) to…

Q: Given f'(x) = 3x4 — 4x³ + 7. Find all critical numbers of f'. (a.) 1 and 2 (b.) 1 and 3 (c.) 0 and 1…

A: To find the critical numbers of f'

Q: Differentiate. f(x) = 7+ 3e5x f(x) = 7+15e5x O f (x) = 7+ 5e3x f (x) = 0+15e5x

A: Differentiate the above function.

Q: Find f. f"(x) = 1 - 6x + 48x², f(0) = 1, f'(0) = 2 1.

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Q: Suppose f (x) = dr=AV5- 3x +C, for constants A and C, what is the value of A? %3D If V5- 3x

A: Integration

Q: function of xx if

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Q: Find y'' for y = 5x +4. 25x2 y'= - O A. 2 (5x? +4) 1 y" = O B. 4 (5x2 + 4) 20 y" = OC. (5x? + 4)…

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Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x +1)? Select the correct answer below: In (3z2 + 4z + 3)…

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Q: Q2 Q2/If y = (x³ + 5x² + 1)3 + Jsin+/cos³Vtan3x2 find y'

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Q: Find f. f"(x) = -2 + 30x – 12x2, f(0) = 8, f'(0) = 16

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Q: The derivative of f(x) = 9z3 12 8. is %3D 3z f'(x) O f(r) – 9x?+ 12x 4 – 9r– 12x + 8e 7 O f(r) - 9x…

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Q: Find h' (2) given that f(2) = -3, g(2) = 4 , f (2) = -2 and g ' (2) = 7 such that h (x) = f (x) *g…

A: The solution are next step

Q: Obtain general solution of ODE y''-y=exp(x) + cos(2x)

A: Step 1. Homogeneous Solution (y_h):We start by assuming the solution for the homogeneous equation…

Q: Find f. f"(x)  =20x 3    +12 x2    + 4  ,    f(0) =8,  f(1)  =5

A: Given, f''x=20x3+12x2+4f0=8, f1=5

Q: find a linear homogenous constant coefficient equation with the given solution: y(x) =…

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Q: If f(x) = (2² + 5x + 3)“, then s'(#) - [ f'(x) -

A: To find the derivative of the given function, we need to use chain rule of differentiation and some…

Q: If f(4) = 3 and f'(x) 2 3 for 4 s xs 9, how small can f(9) possibly be? (9) 2

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