Q1) solve all these first order diff questions with appropriate method of solutions dy _ y²+xy? x²y-x2 i) %3D dx

Q: Solve for x, y and z x + 2y - z = 0 2x + 3y - 2z = 3 -x - 4y + 3z = - 2

A: x+2y-z=0            i2x+3y-2y=3        ii-x-4y+3z=-2    iiii+iii-2y+2z=-2⇒-y+z=-1…

Q: . Solve: (6x + 1)y² + 3x² + 2y° %3D dr

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Q: Find y" of 4x2+9y2= 36

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Q: 1. (D2 - 6D + 9) y eir %3D

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Q: xydy – (y² – 3x²) dæ = 0

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Q: Solve using Method of Undetermined Coefficients d³y d²y + dx³ dx² dy 4- - 4y = = 6e¯* + 8x + 8 dx

A: Given : d3ydx3+d2ydx2-4dydx-4y=6e-x+8x+8 To Find : Solution by Method of Undetermined Coefficients

Q: 1) S dx 9-x2 dx 2) J2y-2 x2Vx2 -2 3) dx 2 V1-x2 |3D

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Q: the metrod of variation of parameters to Apply Solve my = Secnn dx2

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Q: (1+ ye" + xye")dæ + (xe² + 2)dy = 0 C = xye² + 2y+ x C = xye" – 2y – x %3D - Option 3 O Option 4 C =…

A: ANSWER: Option 3.

Q: Use the substitution y = x' to find a general solution to the given equation for x > 0. d²y 3 dy dx²…

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Q: 2y" – 7y" + 12y' + 8y = 0

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Q: Find d²y/dx² for the following equatio: f) x2/3 + y2/3 = 1 g) x³ + y4 = 16

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Q: 2. Solve the following equations: dzy 3 dx = 9, when x 0, y = 0, = 0 a) %3D %3D dx? %3D dy b) 24y 3y…

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Q: Identify the prey and predatory from the following Equations a) dx/dt=-0.06X+0.0002xy…

A: Given two differential equations We have to find out prey and predatory from the following…

Q: Solve : (6x + y) dx + y(2x – 3y)dy = 0 xự + 3x? – = c 3æy – 3x? – y = c | - Option 1 Option 2 xy +…

A: We have to solve

Q: Solve (D5 – 2D4 + 4D³ – 8D²) y = 48e-2 16 sin (2x) - = A- B I = E E E P & O

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Q: How can you solve this problem?  walk through step by step

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Q: COS Z -dz Pet-2 z3 + 9z %3D 2=2 :Select one True False

A: We have to check whether ∮z=2coszz3+9zdz=πi9 is true or false. First find the poles of fz by equate…

Q: 4- yv2x2 + 3 dy+ x/x +y2 dx3D0

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Q: ( 군-1) dz ; Circle: Iz| = ½ 근(2-2y(z-3)

A: Given integral is ∮Cz−1zz−22z−3dz and circle z=52 We have to evaluate the given integral in the…

Q: Solve the D. E J+gtanx = sin ex

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Q: b. S(5 tan 3x - 2 sec2 x)dx

A: 11.b) ∫5 tan 3x-2 sec2x dx

Q: DETERMINE SOLUTION OF 1 x dy dx + y = x² + x (2x+3y-13) dx + 3x - 2y) dy = 0 DE

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Q: Solve the DE Coshx dy+(ysinhyte) de =c 3D0

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Q: Solve for the particular solution of the given IVP: O (t^2+y^2)^1.5 - 3ty = 89 O (t^2+y^2)^3 - 3ty =…

A: The given initial value problem is: dydt+y-tt2+y2t-yt2+y2=0 ;       y(4)=3

Q: Sub: Date 4y +3 dy - 4y=x`+ e* d'y dx² dx

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Q: 1. х2у" — 20у%3D 0

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Q: V16x2 – 8x +1 dx

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Q: Differential Equations. 100 150 Very large tank initially contains of Salt Water Containing gallons…

A: As per the guidelines I did first question.

Q: 4dx + (x — у + 2)?dy %3D 0

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Q: Use the variation parameters method to solve: y" + 4y = sec2x

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Q: y₁ = (x+y)²-1

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.