y = 3xp +p 0 what is the general dy p = %3D dx solution of the differential equation? a) у%3D Зсх (2х + 1); + c (2х + 1)в -2 b) у %3D Зсх (3х + 1)в + с (3х + 1) с) у%3DЗсх(3х - 1)в -2 + c (3х + 1) d) у%3D Зсх (3х + 1)в + с (3х — 1) e) у%3D Зсx(3х — 1)т + c (3х — 1) т |

Q: у" — бу' + 9у %3 t'e", y(0) 3D 2, У (0) 3D 17

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Q: The differential equation 2 ax + 4 au %3D 0 is... +. дхду (a)Parabolic (b)Elliptic (c)Hyperbolic (d)…

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Q: Find the most general real-valued solution to the linear system of differential equations a' x₁(t)…

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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: a) (3xy - y' + 2x) dx + (2xy 3xy + 1) dy = 0, y(- 2) = b) (ye* + 2e* + y²) dx + (e* + 2xy) dy = 0,…

A: A differential equation of the form M dx+N dy=0 is said to be an exact differential equation if it…

Q: Find the most general real-valued solution to the linear system of differential equations [1 -2] a.…

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Q: The system of differential equations where 4340 9 -1 2 -9 has a general solution x₂ (t) = x' x₁ (1)…

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Q: (2x + 3)y' = y +(2x + 3)/2; when x = –1, y = 0 %3D %3D

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Q: > Solve the non-exact differential equations (Apply Rule III) 1. (x² + y² + 2x)dx + 2ydy = 0 [Ans.…

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Q: (3x^2 - 2ху + 2)dx + (6y^2 - х^2 + 3)dy 2у^3 + Зу + х^3+x3с O 2y^3 - x^2 y + 2x = c О уз - 2х^2 у +…

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Q: (D-1)x+(2D+7)y = 3t –15 G9 3) (2D +1)x+(D+5)y= 9t –7

A: I am attaching image so that you understand each and every step.

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: 3 (1 + t?) y' = 2ty (y³ – 1) -

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Q: determine the general solution of the nonhomogeneous linear equation (D^3+D^2-4D-4) y=3e^-x-4x-6

A: We need to solve the nonhomogeneous differential equation (D3+D2-4D-4)y=3e-x-4x-6

Q: (ху? +у — х)ӑх + х(ку + 1)dy %3D 0, when x %3D2, y %3D2 (у* + 7ху + 16х?)ах + x*dy %3D 0,…

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Q: y₁' = -3y₁ - 4y2 +5et y2' = 5y1 + 6y2-6e¹ dan diketahui yı(0) = 19, dan y2(0) = -23,

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Q: Find the differential equation such that y(x) = c₁(x-4) 8 +c₂ln(x-4) (x-4) 8

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Q: One solution of the differential equation is given. Find the general solution. 5x у3) + Зу" - 15у'-…

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Q: equilibrium

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Q: Dx + D°y = e* » (D+1]x+(D-1)y= 4e* %3D

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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.