(у — сos-x)dx + cos x dy %3D 0

Q: Perform the following equation using PEMDAS shown in the image. Write your answer together with its…

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

Q: y" +y' – 2y = 4e* – 2x

A: We have the given differential equation is y''+y'-2y=4e-x-2x2     …..(1) The auxiliary equation for…

Q: Consider a differential equation y' = xy + xe¯´.

A: We have y'=xy+xe−x2

Q: 7 1. 2ydx+x²dy = - dx; y = - when x =1 In 2 2

A: Given:- 2y dx +x2 dy =-dx  To find:- Solution of Differential equation at y = 7/2 when x =1/ln(2)

Q: Give equation

A:

Q: о(2иv? - 3)du - (Зи?и? — Зи + 4»)do %3D 0

A: For the solution follow the next step.

Q: y = x + C,e* + C,e-2*

A: y=x+C1ex+C2e-2x

Q: dy - 2rV1 – y³, -1 < y< 1 dx

A: Given dydx=2x1-y2

Q: Find the general solution of the difference equation

A:

Q: 2 dy Is y = sin t, a solution to = 1 – y? Justify-

A: We will prove the given statement.

Q: cosh“ x – sinh“ x = (cosh? x – sinh? x) (cosh² x + sinh² x)

A:

Q: Find the General Solution of (D² + 5DD' + 6D²)Z = 10 cos(x – y)

A: Given partial differential equation is D2+5DD'+6D'2Z=10cosx−y. We have to find the general solution…

Q: + iwe¬lwt = 0. dt = 0,

A: Given differential equation is

Q: 13x+30= (류,-1) and (-3,) 4. Find the equation that contains 7'3)

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Q: State separable equation ?

A:

Q: y" + 5y" + 12y+8y = 0 denkleminin çözümü aşağıdakilerden hangisidir? %3D O a.y = c,e2 + cCze²#…

A: The given differential equation is: y'''+5y''+12y'+8y=0

Q: d*y dy 4. = x? + e". - dx4 dx2

A:

Q: 5X1 + 4X2 + X3 = 3.4 10X1 + 9X2 + 4X3 = 8.8 10X1 + 13X2 + 15X3 = 19.2 %3!

A:

Q: 5sin 20 – 16sin0+3=0

A:

Q: 1) (xy +y-x)dx + x(xy+ 1)0

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

Q: dr r2 ;r(1) = 2 dø

A: