dy dx 11 - 4xy, when x = 0, y = 2

Q: Find the general solution of each differential equation, and when initial conditions are given, the…

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Q: II. Find the particular solution of the given differential equation. у"-4y'+13у 3D0, у(0) — —1,…

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Q: Is y c + 2 xe Colution to y" + 2y' +y=0. A Verify y= 4 cos (2x) + 6sin (2x) is a solotion to y "44y

A: We will find actual derivatives and checking by substituting in differential equation that, if it is…

Q: • / = Ity

A: y'=x-yx+y It is a homogeneous differential equation. Put, y=vx⇒y'=v+x·dvdx Therefore,…

Q: (2xy + x)dy – [x² + y² + y + 1]dx = 0 When:x = 1; y = 0

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Q: d. 2ydx +x(x² In y – 1)dy = 0 -

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Q: y-3y+2y=2x +sin x+(1+2x)e" +4e* %3D

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Q: b. 6y²dx – x(2x³ + y)dy = 0 -

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Q: y' + y² = 3y tan x tan? x + 1

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Q: d²y_1 dy _ 4x²y = 0, -∞ < x < 0, y₁ = e²² dx² x dx

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Q: 2. y = ln sin(x - A) +B; y" +(y)² +1=0

A: Introduction: A function y=f(x) that satisfies the differential equation when f and its derivatives…

Q: Determine the particular solution of the given differential equation: 6y' – 2y = xy* @ y(0) = -2

A: This differential equation is in the form of Bernaulli's equation. So first we reduce it in the…

Q: y" – y' – 6 y = sin t + 3 cos t

A: The given equation is a second order linear non homogeneous differential equation with constant…

Q: Verlfy that y 9e** + 3e is a rolution OF y"- 18 y' t yso.

A: ***As per our guidelines, we are supposed to answer only one question at a time. Since you have…

Q: y' + (1+ 2x2) .e²²+y = 0

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Q: e"(dr+3rde)=0

A: To solve the given differential equations.  e3θ(dr + 3rdθ) = 0.

Q: (5y – 6x)dx + rdy = 0

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