3. у %3D С1 е2х sin3x cos3x + c2 e²x

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Q: Solve the IVP y′′ + 4y′ + 13y = 0, y(0) = 1, y′(0) = −5

A: To  Solve the IVP y′′ + 4y′ + 13y = 0, y(0) = 1, y′(0) = −5

Q: Given the function f(x)=nx° +(x- g)'1/2 1- Find the Taylor series expansion for the given function a...

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Q: 2. Consider the power series p(x) = E *+3)" n=0 (n+1) 3+1 2.1. What is the center? 2.2. What is p (-...

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Q: 1. Calculate the Laplace transform L {(t² – 4) sin(t)}. 2. Calculate the Laplace transform L {12e=t ...

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Q: Find the volume of the solid that lies under the paraboloid z = 102 – 2? – y? and above region R = {...

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Q: Factor the trigonometric expression and simplify. |-2 sin? X +sin4X A.) sin? X B.) cos 4x C.) (I+tan...

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Q: Is the relation y = (x + 3) - (3x + 2) linear or quadratic? %3D quadratic linear

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Q: The differential equation / (x y ež ) = yež + 2² has a solution of the form f(x, y) = ln |x| + C. Fi...

A: To find The constant C which satisfies the given initial condition y(1) =1

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Q: 44m Answer:

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Q: fx. yl=x'+6x+3y-12 xy+9x.

A: This is a problem of multi-variable calculus.

Q: Choose the Laplace transform of the given function. 6 (t — п) t cos (t) e-TS + T ITS e -Te TS Te T S

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Q: a) parent: y = x5 transformation: y = 2(-x + 4)5 – 1

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Q: the box that minimize the amount of material used. st, find a formula for the surface area of the bo...

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Q: 3. Find 2 – 6 + 18 – ...+ 13122

A: Find the value of 2-6+18-⋯+13122. The sequence of the numbers in the sum is: 2, -6, 18, …, 13122 Not...

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Q: arcsin(y'(x)) – x = 0 con y(3) = 5, es

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Q: Several friends chartered a boat for a day's fishing. They caught a total of 60 fish. The table belo...

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Q: N! sin(B t) s2 + B2 cos(B 1) s2 + B2 N! (s - A)N+1 B A sin(B t) (s - A)? + B2 S - A Ai cos( B t) (s ...

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Q: If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates o...

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Q: (Give your answer in the form (*, *). Express numbers i

A: Given, the parallelogram is spanned by the vectors 7, 10 and 9, 5.

Q: 4. Determine the eigenvalues and eigenvectors of the following matrices: (a) (b) (-1 -1 CS Scanned w...

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Q: Given x+ y +z=5 and Po(2,1,2), find the following. (a) Find the equation for the tangent plane at th...

A: The complete solution is in given below

Q: Define a relation R on Z as follows: For all integers m and n, mRn → 3|(m – n). Then 3 RE.

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Q: Calculate the sum of the series: 1 + 4 1 1 + 12 1 + 20 + ... 16 A. С. 1 D. doesn't exist B.

A: We have series , 14 + 18 + 112 +  116 + 120 + ...... This series can be written as , ∑n=1∞14n First ...

Q: Find 2 − 6 + 18 − ⋯ + 13122

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Q: Please help with this discrete math question with details on how to do it. Need help with question #...

A: To find- Use polynomial fitting to find a closed formula for the sequence ann∈ℕ0: 1, 3, 11, 31, 69, ...

Q: the nth Taylor/maclaurin polynomial

A: