Convet each of the following IVPs to an Volterra integral equation! - ه = (0) = (yo , 2- گلا لا ۱ 2 equivalent ۱ - (۰) گا 0 ius + +y=x , y = y ) - ۱ ) = ) = ه (۰) (۰) yo)

Q: 4) Find linear ditterental equation with costnt y-ac'+cadk Lomageneas coetfients whose general…

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Q: 4. It f(x,)= (x?+Zy^)+Z and ū= a.) Find the derivative of t in the direction Of ū at 13,2) -

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Q: 2

A: To find, L-11s2+13 The Convolution Theorem is given as, If L-1f¯s=ft  and  L-1g¯s=gt then,…

Q: 4 -2) Q:Solve Y"= (;) Y.

A: We have to solve this differential equation.

Q: 15 estimate, root of fa) =x²-7.

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Q: 29 Given that at any point (x, y) on a curve, y = 2, and an equation of the tangent line to the…

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Q: if y = secx prove that y^2+y=2y^3

A: Equation relates the number of variables combined together by algebraic entities using equality…

Q: 4) a²y=+52y =14 yat (2,1) Find equátion of tangent?

A: Equation of tangent  y-y1=m(x-x1) (x1,y1)are the points at which equation of tangent is to be…

Q: Shouldn't the 6 be divided by a two, so f'(c) = 3?

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Q: Question 3.5: Calculate o dz. Question 3.6: Calculate o 1 - dz .

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Q: show that 1+i is a root of the cubic equation 3z^3-5z^2+27z-45=0, find the other two roots

A: 3z3-5z2+27z-45 = 0Using rational root test :±11, ±13, ±31, ±51, ±91, ±93, ±151, ±153, ±451,…

Q: Find xp by implicit differentiation. S 4e*"y = 2x

A: According to the given information, it is required to find the implicit differentiation.

Q: 3x * y^4 = 5x * sin x + 4y ^ 3 * cos x + 5y * sin x

A: Given equation is: 3xy4=5x sin x+4y3 cos x+5y sin x

Q: The two initial values of the roots of the equation x^3 - x - 3 = 0 are A) 1,0 B) -2, 1 c) -1,0 D)…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Use the Mean Value Theorem to prove that the equation 0=t^8+3t^2−5t+7 has no more than two…

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Q: Which of the following is the equation of the tangent drawn to the graph of the function y=x^3 – 2…

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Q: Solve the differeentail Equations for y"-2y'= 3x+9e^(3x)

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Q: complex integral

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Q: omplex derivative of (Log z)^3

A: Given: log z3 To find: The complex derivative of given function.

Q: sec'o, Q2: Ealate vtan 9-1

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

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

Q: Find general solution to Cauchy-Euler equation: (t^2)y''-2ty'-3y=t^2

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Q: Consider the estimated quadratic model   y ^ = 23 + 1.6x − 0.02x2. Now, Predict y when x equals 10,…

A: The objective is to find Predict y when x equals 10, 20, and 30.

Q: Find an equation of the tangent line to the graph of y=9* at the point (-1,9). 01) y=9_(x+1) 9 9 ○…

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Q: If 2x^4 + x^2y^2 - y^8 = 3x^2 + 4,what is the value of dyldx at point (4,1)? %3D

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Q: 2¹7--1-81 O 29-16-81 O A 219-45-STO 2 O 18-25-8-2² (₂ÃE - ¤ÁZK₂A + ₂A) Find the derivative

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Q: 5. (y" – y) = e-X cos(3x) %3D

A: Since you have asked multiple question, we will solve the first question for you. If you want any…