Aşağıdaki başlangıç değer probleminin çözümü y(x) olduğuna göre y(5) değerini hesaplayınız. [If the solution of the following initial value problem is y(x), find y(5)]. S 5xy' – 5y = 12x, y(1) = 8. Lütfen birini seçin: O 40+12ln5 O 44+13ln6 O 44+13ln5 O 44+12ln5 O 40+12ln4

Q: 4. y=x+c₁e* + C2e-* y" -y + x = 0

A: Since you have posted multiple question, I can do first question as per our company guidelines.…

Q: If yo is the solution of the equations xy' + 3y = 2x, y(1) = 8, determine the value of yo(2).

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Q: 15. Let 2 √x 4 3/2 y' = 2y + 2xy' 13/2 Solve for y' when x = 1 and y = 4

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1 and y=4

Q: c. y' + 2y = x³ with y(1) = 2 Yo (x) = e Yp (x) = y (x) = y (x) = -2x 1½ e ²x³ - 2/ ( 10²x² -…

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Q: Solve the given DE x?dy - xydx-2ydx

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Q: The general solution to y'' - xy' + y = 0 is given by:

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Q: 2)Solve the following IVP’sfor the 2ndorder linearequations y′′−4y′+9y=0 y(0)=0,y′(0)=−8

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Q: Solve (x² + 4)y' = 2xy In|x] = In(y? + 4) +C O Option 1 Inlyl = In(x² + 4) +C

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Q: 4. Find the particular solution of xy' – 2y = -x; when x = 1, y = 5 C. y = x - 2x² d. y = 2x – 3x…

A: Given that: xy'-2y=-x; when x=1, y=5       NOTE: As per our answering guidelines, we can only answer…

Q: Q3/ Answer one from the following :- 1- Determine the general solution y(x) for the equation 2y" -…

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Q: 6. Find two solutions to x² - xy - y² = 1 with x,y > 0.

A: SOLVE FOR X   x=4-3y2+y2x=-4-3y2+y2y≤233 ​​

Q: C1e + C2e* . These are The solution of y" – 2y' 15y = 0 is y the values of C, and C2 if y (0) = 11…

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Q: Q1. Find the general solution for the non-homogen 1st OLDE using undetermined coefficient method.…

A: Given Y'=-3-456Y+5-6ex

Q: 3. If Ax = b has a solution and A" y = 0, is (y" b = 0) or (y" x = 0)? Justify your answer…

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Q: Which of the following is a general solution to the following: x²y" + xy' + (36x² − 1) y = 0 A. y =…

A: Solution:

Q: Eliminate the arbitrary constants of the following

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: 2x Example: Show y = ae¯* +be* is a solution of = de y"-y'-2y 0 for all values of a and b. %3D

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Q: 3 6. Let A = -4 Find the general solution of x' Ах.

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Q: oulli’s equation, x' = a(t)x + f (t)x^n, n /= 0, 1, was proposed for solution by James Bernoulli in…

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Q: 7. Given 2x2y" + xy' + 3y = 0 show that 2x2y+2) + (4n + 1)xy"+1) + (2n² – n+ 3)ym) = 0 %3D

A: We use the method of mathematical induction to show the given statement holds (given…

Q: The solution to the IVP (x² + y²) y'+xy=0 with y (0) = 2 is y (2x²-y)=4. y²(2x² + y²) = 16. Oy²(2x²…

A: The given problem is to find the solution for the given initial value problem with given initial…

Q: 8. In a permanent disability model, we have = 0.2, t = 0.1, pt = ,01 ,02 12 0.25 healthy (0)…

A: Given  μx+t01=0.2,  μx+t02=0.1,  μx+t12=0.25

Q: Find the general solution to the following problems a) x²y" - xy' + y = x² + 1.

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

Q: Show that y = - In x + 3x - 5 is a solution of y" -=0. Use y = - Inx+3x – 5 to find y' and y". y' =O

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Q: Select all the points through which a unique solution for the DE y'=/13-x²-y2 is guaranteed by the…

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Q: Suppose ay" + by' + cy = 0 with y(0) = d and y'(0) = k has a general solution y = 4e2 3. What are…

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Q: 7. Use Reduction of Order to find the second solution for the differencial equation ry"-Szy' +9y=0,…

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Q: (3 + a?)y" + 3y = 0, y(0) = 0, y'(0) = 7. %3D If the solution is k=0 enter the following…

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Q: If y = f(x) is the solution of æy' + 13y – axy? = 0, f(1) = 12/a, where a + 0 is a re а, number,…

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Q: Find the general solution of the following differenti (а) (b) у Ах-(x-Ux2+y2) dy=0 (4x3-y2)x -…

A: Differential equation

Q: 9. (a) Find the special solutions to U.x = 0. Reduce U to R and repeat: X1 X2 11- X3 X4 (b) If the…

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Q: 5. Use the variation of parameters method to find the general solution to the following problem x²y"…

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Q: 1. V2 are two independent solutions of y" + p(t)y' + q(t)y= 0 then ect one: a. V1 b. C. W(y1.V2) d.…

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Q: Can you substitute equation 28 into equation 27 and try to achieve equation 30? Please I need it…

A: We will use the basic knowledge of substitution techniques to answer this question properly, in…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.