Find the general solution of the second order differential equation dy dy 10- + 24y = 0 d.x dr? .A y = Ae2a + Be'2x .B -4x Y = Ae + Be-bx .C y = Ae4 + Be6x Y = .D y = Ae3* + Be8¤

Q: Choose the correct solution the following differential equation * x²-x+1 y(1) = // x

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Q: What is the solution of the differential equation by da = a(2a' + y)dy ? a. 1. = .3 O b. 1 1 2 O . 1…

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Q: Determine whether the differential equation is linear а. х- у 3D ху 1 b. y' = y c. y' = xy? = Vx d.…

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Q: Write the general solution of the differential equation 2ydx + xdy - x^3dx = 0. In writing your…

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Q: Which of the following function/s is/are solutions of the differential equation y"-y=0? +1 e* Option…

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Q: Provide a general solution formula for the differential equation y" – 15y" + 70y" – 120y' + 64y = 0,…

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Q: What is the particular solution to the differential equation (1-xy)? + (y² + (1-xy)- )dy = 0 and y =…

A: Givendx1-xy2 + y2 + x21-xy2dy = 0withy(4) = 1

Q: Find the differential equation whose solution is given by y² = 4ax. A. y = 2xy' B. y=xy' C. y = xy'…

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

Q: Q2\ Find a general solution of each of the following differential equations : y.x 1. 2х-x2 dy = /2 –…

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Q: which is the corred differential equation of the relation y = x + be* + ce* after elimination of the…

A: Solution: Given that

Q: Find the general solution

A: Given,       dydx=2-x+x3

Q: y'=(2x+y+1)/(4x+2y-5)  differential equation solution.

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Q: y = 3xp +p 0 what is the general solution of the differential equation? dx

A: Given that y=3xp+p,  p=dydx To find the general solution: y=3xp+py=3x+1p Differentiate both sides…

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x 3x A. B. O O E. y" - 3y' =…

A: Given a  equation of general solution of a differential equation. By terminating arbitrary constant…

Q: If the root of an auxiliary are rı = 2+3i and r2 2-3i, the differential equation is %3D Select one:…

A: We will find out the required differential equations for given roots of auxiliary equation.

Q: y = C1e2 + C2e- y' +y – 2y = 0 y" + y + 2y = 0 O Option 3 O option 1 y" – y +2y = 0 %3D

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Q: Q2/ Solve the Higher order differential Equations. ( -- d*y d²y 4- + 4y = 0 dx2 1- - dx+

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Q: The auxiliary equation for the differential equation y" – 4y" – 12y = 0 is Select one: m – 4m2 – 12…

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Q: differential equation y = C, sin(5x + C2) as its general solution. a) Oy" – 25y = 0 b) Oy" + 25y = 0…

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Q: . (D² + *. + D)y = 6 + 3 e²

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Q: ze"dy + (2z + e®)dz = 0 is exact differential equation. select one true false

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Q: For which value of the constant c is the function y = 15e-® + x + c a solution of the differential…

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Q: Suppose you want to find an equation for a curve that passes through the point (1, 2x3 2) and whose…

A: We have to solve the differential equation dydx=2x3y to get the equation of the curve.

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.