Solve Uxx = utt u(x, 0) = 0, "+ (x, 0) = x² '

Q: Solve Uxxx ut in R'x (0,=)

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Q: Find f. r'(x) = Vx(3 + 10x), (1) = 11 (x)

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Q: Find f. f'(x)  = x-1/3    ,f(1)  =1, f(-1)  = -1

A: To find f(x) we integrate f'(x) C=integrating constant

Q: y' = sqrt(x + y + 1)

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Q: Find f. f'(X) = Vx(6 + 10x), f(1) = 11 f(x) =

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Q: Y^5+X^3=Y^2+9x,Tangent At (0,1); Find The Equation Of The

A: We have to find the equation of the tangent of the curve y5+x3=y2+9x at (0, 1).

Q: F=11+/2x+3, find F'(3) find F'(8)

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Q: F’(-4)=

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Q: (:' } - 8) zp - Vz(z – 2)

A: We use the difference of cube formula for numerator

Q: Now, differentiate the function y' = 4x(1 + 2 In). y" = 4 + 8 + In + 8 In

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Q: Find f. f"(x) = Vx(6 + 10x), f(1) = 9 f(x) =

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Q: If f(x) = 3/7(2 – 7a + 5), find f'(x). - Find f'(3).

A: Given:- f(x) = 3√x(x3-7√x+5)  To find:- f'(x) and f'(3)

Q: Evaluate Solve y'' - 2y' + y = e^2x by using variation parameters

A: Idea: solving by using method of variation of parameters

Q: Find f. f"(x)  =8  x3 + 5   , f(1)   =  0 , f'(1)  =8

A: It is given that, f''x=8x3+5,  f1=0, f'1=8.   Integrate the function f''x=8x3+5 as follows".…

Q: use the Lagrangian method to solve: U=x1^(1/2)x2^(1/2) subject to 50=5x1+10x2

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Q: Is the equation y’=y/x autonomous? True or false?

A: Given:The given equation is .To Find:We have to determine whether the given equation is autonomous…

Q: Find f', given f'(x) = f(x) = x sin³ (25) √²+1

A: NOTE: Refresh your page if you can't see any equations. . take the derivative

Q: Find f. f"(x) = -2 + 36x – 12x², (0) = 8, f'(0) = 18 "(x) =

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Q: Find a function whose graph passes through the point (1,2/e) and satisfies x^2y'=y.

A: Given differential equation     x2y'=y   and initial condition  at x=1,y=2/e

Q: Find all solutions on the intern cotx=x^(3)- (1)/(x^(2))

A: The given equation is Cot(x)=x^(3) - 1/x^(2)   x^(2)Cot(x)=x^(5)-1   x^(5)-x^(2)Cot(x)-1=0