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Q: Q5):- solve the following D.E y" – xy' – y = 0 As solution key use y = En=o anx" m=0 Good Luck

A: To solve the below differential equation. y''−xy'−y=0

Q: al solution to the following equation y"- y = 0

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Q: A fireworks shell is shot straight up with an initial velocity of 80 feet per second. Its height s…

A: s = 80t − 16t2 Max height is reached where the velocity of the particle is 0 v(t) = s'(t) v(t) = 80…

Q: B. Solve the following equations for y. Answer two only. i.__8(2y-³) = (-¹)(V-2), 16 e√y = 1² In(y +…

A: We can solve for 'y' .

Q: t*+1µ' = x*µe+1 or A= u. fore, a special solution of equation (5.76) is ( 2(k, l) = µk+e. (E || ing…

A: Using equation 5.65,

Q: Annie purchased a car for $10,000. The car's value depreciates at a rate of 12% each year. Which…

A: Use depreciation formula

Q: Solve the following equation for 0 where 0 <0 <n. 5л sec( 20 + 27л = csc 20 - 14 Provide your answer…

A: Given trigonometric equation is: sec2θ+5π7=csc2θ-27π14

Q: 3. Consider the equation (3x2 + 3y? + 6) dx + (kxy + 8y³ + 1) dy = 0. (a) Determine the value of the…

A: The solution is given as

Q: Decide whether the method of undetermined coefficients together with superposition can be applied to…

A: In this question, method of undetermined coefficients is applied. Method of Undetermined…

Q: 2. A ball is thrown into the air with an initial velocity of 64 feet per second. The following…

A: Given,  The equation of  heighth of the ball with time t  h = 64t -16t2  and the graph between the h…

Q: Consider the equation a 4y" + by + cy = 0 the constants a.Gm are real and different from zero, the…

A: To find the inequality between b and c.

Q: The charge in coulombs that passes through a wire after t seconds is given by the equation Q(t) =…

A:

Q: Find the solution of the Bernoulli's equation + = y3(1+ In x). dx a. 9 = -6xy?(1+ In x) + 2xy? +…

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Q: Q1: The tank shown in the figure below is filled initially with water: a- Find the depth of water at…

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Q: 3. (2x – 3y + 4) dx + 3(x – 1) dy = 0;

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Q: Pls kindly help to solve the below equationm to find w(x) =? P(x) = x + a² S (v – x)p(v)dv Hint: the…

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Q: If variation of parameters method is used when solving the equation y" 1 then what is the v (z) of…

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Q: 6.Given y'a = -2x³ + 12x² 20x + 8.5, y(0)=1, h=0.5 find y(2) using the 2nd-degree RK - a. 3.37500 b.…

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Q: The position of a particle is given by the equation  s= f(t)=t 3 -6 t 2 +9t  where t is measured in…

A: Given, The position of a particle is given by the equation, s=t3-6t2+9t We know that the velocity is…

Q: V Solve the difS er en tiul Equation 2zy 9(っt)=y(5)t) -0 f(x)=35inスTメ-2SinラmX Solve by using…

A: The given problem is to solve the given partial differential equations with given initial conditions…

Q: If an arrow is shot upward on the moon with a velocity of 58 m/s, its height (in meters) after t…

A: Given- An arrow is shot upward on the moon with a velocity of 58 m/s, the height attained by it in t…

Q: 4330 13. The height of a ball in the air off the ground in meters, t seconds after it is thrown, is…

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Q: Solve the following equations for x. (a) 3e2 5e" + 2 3e2" = (3a – 1)e² + a, where a is a constant.…

A: The objective is to solve the equation for x.

Q: 2. The equation describing the distance traveled by a particle is give by 5 = 312 – 41t + 8 where s…

A: The distance traveled by a particle is given  by s=3t2-4t+8, where s is the distance in feet and t…

Q: 13. The temperature in our school is modeled with this equation: T = 4cos(30(t−8)° +18. T = the…

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Q: Given s(t) = 4t + 4t, where s(t) is in feet andt is in seconds, find each of the following. %3D a)…

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Q: Q:Solve the following: x'y" – 3xy' + 4y = vx, x > 0

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Q: ·S. Given : 1 value of -AB AB. 3 72 40 8x + 1 20 3 280 3 4x - 3 4x - 3 dx. If we let the…

A:

Q: A ball is projected into the air. Its height at time, t, is given by the equation h = -16 + 100t +…

A: Given the equation h = -16t2 + 100t + 2  where h is height and t is time. We have to find the time…

Q: 11. The value of k so that (y³ +kxy – 2x)dx + (3xy? + 20x?y³ )dy = 0is an exact equation is: С. -5…

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Q: Q1: Find the value of constant (K) 31 k xy#e* dydx = 56 %3D 27 0

A:

Q: Find the value/s of b for which Z =(    2 -B  - 4  is singular.…

A: A virus is believed to be spreading through a sheep farm according to that equation N=…

Q: Thus the particle reach the height of 80f at 1second while it goes up and after 5s while moves…

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Q: Solve the following D.E y''_ y'_6y=e^-x-7cosx

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Q: Q.3 A metal bar at a temperature of 100F° is placed in a room at constant temperature of OF°, if…

A: we know that by newton"s law of cooling

Q: 1. The value of k so that (y +kxy -2x)dx +(3xy2 +20x°y )dy = 0is an exact equation is: С. -5 d. 15…

A: Given problem:- The value of k so that (y² +kxy - 2x)dx +(3xy² + 20x²y³ )dy = 0 is an exact equation

Q: Q.1 Solve the following B.V.P. y" – y = 2e", y(0) – 2y'(0) =-1, 3 y(1)– y'(1) = e.

A: See the attachment

Q: 2 Solve the equation for the approximate value of t. 1500 - 1000ee F 1.485 2.352 H 17.609 40.547 K…

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Q: 5. The position of a particle is given by the equation: s(t) = t3 – 12t2 + 54t – 8, where t is…

A: Note: - Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: If a rock is thrown upward on the planet Mars with a velocity of 14 m/s, its height above the ground…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 3. Solve the following equation given yo = 5: ýt + 5yt – 15 = 0. That is, y-dot +5 y –15 = 0.

A: The given differential equation is yt·+5y=15 The given differential equation is of the type…

Q: Eliminate the arbitrary constant on the given equation: y = x + Cie + C2e Eliminate the arbitrary…

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Q: solve the given initial value problem. Describe the behavior of the solution as t →…

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Q: Solve using variation of parameters: y" - 2y + y = et/(1+t2) + 3et Type the letter of your answer.…

A: We have to find the value of A, B and k for the given non-homogeneous linear differential equation.…

Q: solve the given initial value problem. Describe the behavior of the solution as t → ∞.…

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Q: 2. (6x – 3y +2) dx + 3(x + 3y – 4) dy = 0

A:

Q: 4) The position of an time in seconds the object has been in motion. How long (to the nearest tenth)…

A: Given s=14 meters , we have to find t=?

Q: 1. The position of the particle is given by the equation s = f(t), being s= t3 - 6t? + 9t, where t…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: solve b + 1 a + 1 38. b а — 1 for a b a 39. V = tarh; for r mM 40. F = G- for r

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: Solve for z in the equation 2-5j z+j+1 2= +3j 2z-j A) 0.2 + 0.1 j B) -0.2 + 0.1 j C) 0.2-0.1j D)…

A:

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.