1. Solve the following differential equations using classical methods and laplace transform. Assume zero initial conditions. d²x dx dt² +2 +2x=5e²t dt Answer: exp(2*t)/2 -(exp(-t)*(cos(t) + 3*sin(t)))/2

Q: What steps must be followed to solve this?

A: Given the position function, st=t2-1t2+12

Q: Example 2. Simplify X+ XABCD+ XB +XBCD+X

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Q: Find the difference. See Examples 6–7. 2x3 + 7x2 – 3x + 7 6x3 – 4x2 – 9x – 3 -

A: In order to subtract 2 polynomials, subtract like terms . Like terms are the terms with equal degree…

Q: I need help solving for parts a-c

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Q: Can you show me the calculations to this question?

A: We have to explain the calculation. Antonio buy games on Black Friday or Cyber Monday?   The…

Q: image of the solution is cropped at the bottom. can you send it again please

A: The image of the solution is not cropped. The solution is correct.

Q: Answer this problem correctly

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Q: can you solve g, h, and j too please?

A: Part g)  We need to find the partition numbers of f''x To find partition numbers equate second…

Q: 3 dy find dx If y = 6x+ 5. x=1

A: We use the derivative formula     ddxxn=nxn-1

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A: A set is said to be closed under addition if the addition of a number to the set will give another…

Q: O if x + 3x + 4.is positive for all real values of x the range of values of a is: 9. B. a 2 C. a-2…

A: Quadratic polynomials are given, we have to find the requested values.

Q: Please provide the solution to part (ii) for this question.

A: An expression for the angle FBC in terms of h is determined as shown below.

Q: Find the value of the variable 1/3a = 2

A: Given: 13a=2

Q: Sorry? Could you please write down the solutions? I cannot understand in this form.

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Q: Explain the process in this solution thoroughly. Thanks!

A: Given differential equation:- (16x+5y)dx+(3x+y)dy=0 To find :- The particular solution of the…

Q: Please show step by step solution for problem b

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Q: equations contained -xy2  , do we just put them together or is there a general rule for that?

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Q: Given az Find

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Q: Why non-negativity constaints are not part of the general optimization model ?

A: If a variable that is constrained to be nonnegative has value zero in some solution, then the…

Q: X +2x, = 4 X; – 3x, – 3x, = 2 Xy + xj = 0

A: We will use substitution method to find the value of unknowns.

Q: solution

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Q: The code is not rendering properly, which makes the solution hard to read.

A: As per the question we have to prove the convolution property of the Laplace transform and hence…

Q: Can more steps be provided for Step 4 please?

A: The independent variable (X) is advertising expenditure($000)The dependent variable (Y)is…

Q: an more work be shown on how to solve this

A: By using a scalar projection to find the shortest distance from the point 1,-2, 5to the plane given…

Q: how do we go about solving the last two parts?

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Q: How many types of equations are present?

A: There are mainly five types of algebraic equation, dignified by the position of variables, types of…

Q: Can you explain why you used the certain equations?

A: The solution given by an Expert is correct