1) Find the general solution to the equation y(t) to 2y" + y – y = 3e-t + 2e¬t/2 Using the method of undetermined coefficients or using the variation of parameters method.

Q: Find the solutions of the equation z4 = -4v3 + 4i .

A: First we  write the polar form of -43+4i  at -43+4i=rcosθ+isinθ                           where…

Q: The equation y3=3Bxis the general solution of

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Q: Question 4 Solve for r: 38z-2 86z-2

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Q: the definition of unitoraly continuity that fex)= D Use to prove 1-X is uniformly continwus [o,!] ウ…

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Q: What should you do to get the two terms with variables on the left side of the equation?

A: What should you do to get the two terms with variables on the left side of the equation?

Q: Solve the equations x² =[1] in Z5.

A: The solution tox4=1(mod5)inZ5​arex=1,4(mod5).Explanation:To solve the equation x4=1(mod5)inZ5​​, we…

Q: At a county fair, the Ferris wheel has a diameter of 30 m, and its centre is 18 m above the ground.…

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Q: solve the following differentral efuation x2y-x²dysyf cose

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Q: Which of the following are solutions to the following equation?  z3 - 8 = 0

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Q: Question 3 based on question 2

A: 3) We compare a=-16, b=1120, c=8

Q: solve each equation for x. 2/3 x - 1/2 y = z

A: 23x-12y=z

Q: Solve the equation. (*+ 12/5 - 30x + 1)'/5+2=0

A: Given equation is, x+125-3x+115+2=0 Let us substitute u=x+11/5 Therefore the given equation will…

Q: Solve the following equation for x 5x-3=3x-5

A: In this question , we can solve for 'x'.

Q: Find the general solution of the Poison equation with Cartesian coordinates with only one variable.

A: As per the question we have to find the general solution to the following one-dimensional Poison…

Q: Question 6 - Solve the equation. * 1 -x+10%3D1

A: 13x+10=1

Q: for 1b of this question, could you explain why why all the solutions of the original equation are…

A: It is provided that the original equation is (x2+y2-1)2+4y2-1=0 and the corresponding polar equation…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.