(20,00 Puanlar) 1- Solve the differential equation y' = Va +y– 1 (c+z) a)y = 4. (c-z) b)y = 4 (e+z)? c)y = %3D 4. (c+2z) d)y = a) b) c) c) d) Boş bırak

Q: 3 (3x? — 6ху) dx — (3x? + 2у) dy 3D0 -

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Q: 2) Solve the differential equation: (D² – 11D + 28)y = 50 – e30x + e 4x

A: We have to find the general solution of given differential equation.

Q: y(s) =. (s+2)² +1 e" (cost – 2 sin t) -2t e" (cos t – 2 sin t) O A.) O B.)

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Q: Find the positive root of the equation e = 1+r++Fe0.3%

A: For the function Fx=ex-1+x+x22+x66e0.3x:  F2<0 and F3>0

Q: Solve the Bernoulli equations y' - y = -y2

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Q: Solve the equation difFerential Ci+ x) y' + y = Jx %3D

A: Given differential equation is,

Q: solve et (l-t)? with y coJ=2 and y'Co)=6

A: We have to solve

Q: 3. a) Define Integrating Factor and Exact Differential Equation. b) Solve: (x2 + xy-y² )dx+ x² - 2xy…

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

Q: The differential equation 3x?yy' – 3x5 = y?can be changed to linear by the substitution (a) v = y?…

A: Put y=vx So, none of these is correct option.

Q: (x2 + 1)у' + 3x(у — 1) — 0, У (0) — 2

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Q: Q1} Find the differential of ex²

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Q: 1) y = c x2 2) y = ce* + c2e¬*

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Q: d) Solve the equation for all roots x' +1 = 0

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Q: What is the value of m in the equation m+) dx + (G+:) dy = 0 to complete the differential equation?…

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Q: how did this equation Hx = exp P (ny + ). ož = vi[exp (o,) – 1] turned into this equation 1 In Hy =…

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Q: а.) Solve x' = -5] x+ -2 [sec t] x(0) 1 b.) Solve x' = x + x(0) 1 -2 U5

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Q: Solve differential equation  (D3+2D2+D)y=x3

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Q: Solve cosh(z)=1/2

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 6. Solve the Bernoulli differential equation dy - y = xy² a)…

A: The given differential equation is First we will divide (1) by  and then we get,Let ,Now, we have,

Q: 4) (e* + y)dx + (2y + x)dy = 0

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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: Find the order and the degree of the differential equation cos x COS X A 2,4 B) 5, 8 © 5,4 5,2

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Q: Find the differential equation that has y = C1 + C2x as its general solution. a) Oxy" – 3y = 0 b) O…

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Q: (x*y- xy")(xdy + ydx) + dy = 2xdx

A: To solve the differential equation we use some special form

Q: B- Solve the following differential equation у" — 7у' + 3 %3D о

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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.