2²ye+v°-²dx dy dz 1 -1

Q: y +y= sec(z); %3D

A: y'' +y=secx A second order linear, non-homogeneous ODE has the form of   ay''+by'+cy=gx The general…

Q: (х- 4y - 3) dx -(х-бу— 5) dy %3D о ans. (x - 2y - 1)? %3D с (х-Зу- 2)

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Q: (у*- 2ху)dx + Зx*dy %3D 0 Nhen y 3D 1, х — 2 ||

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Q: y - 1 %3DCOS (7x*) dy dx %3D

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Q: (x + y – 2) dx + (x – y + 4) dy = 0 |

A: Given:-(x + y - 2) dx + (x - y + 4) dy = 0To find: Find the family of equations

Q: (ху + 4y?)dx — (x? - 5ху)dy %3D0

A: The given differential equation is of the form Mdx+Ndy=0 where, M=xy+4y2N=5xy-x2 Differentiate 'M'…

Q: (교2 + y2 - 5)dz = (y + zy)dy,

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Q: (y-4x-1) dx= dy %3D

A: (6) Given differential equation is y−4x−12dx=dy....1 We have to find the solution of the given…

Q: Зх + 7y h(x,y)%3D find and dx ду ху - 10

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Q: The solution of (y + x + 5)dy = (y – x + 1) dx is %3D

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: 1. 2. у(2х — у + 1)dx + x(3х — 4y + 3)dy %3D0 -

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Q: dy at t = -1. dx 2t -8 and y = 31+12, then find %3D

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Q: y" + 4y = cos(t−3)+4t, y(3)=0_y (3) = 7

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Q: (1-))csc²( 1– y)dy

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: The equation (x*y^2 + x - 2y + 3)dx + (y*x^2)dy = 2(x+y)dy is not exact. true or false?

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Q: Solve "- 4y + 4y = cont v(0)=1 y(0) = 1. %3D

A: Given : y"(t)-4y'(t)+4y(t)=cos t with initial condition y(0)=1,y'(0)=1 PROPOSITION: Suppose yp is…

Q: (cos2y — Зx? у?)dx + (сos2y — 2xsin2y — 2x3y)dy %3D0 - |

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Q: dy - 2e3t-2y; y(0) =0 %3D dt

A: The given equation is, dydt=2e3t-2y

Q: (6e² + 6z+4 cos z+2)dx %3D

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

Q: y = 3 Arccos ( 1 -)+ v6x – x² %3D 3

A: To find the first derivative of y=3 arccos1-x3+6x-x2, use the sum rule of differentiation,…

Q: Solve Hhe dipperential Eguentione. 3(x+zy-4) dy + Gx-3y +2) dx= 0

A: Wea will convert the equation into homogeneous differential equation by substituting and then solve…

Q: dy - y-5x-3x + 2x 0 dx %3D

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Q: (y* — 2ху)dx + З3x?dy %3D 0

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Q: 2. 2x² dx – 3,/y secx dy = 0

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Q: d'y dy y = aebx is a solution of %3D dx2

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Q: dy -: y = 6x² – 4x, dt dx = 7,x = -2 dt (5) Find -

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Q: cos(x + y), when x = 0,y = dx 2 = dy : %3D

A: To solve the differential equation we can use a substitution u=x+y and then we can use variable…

Q: (2x y) dx = -x dy

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Q: dy %3D -9y = 0 with the conditions that x = 0 and dx

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Q: 2. ii) (8y2 + sin y) dy

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: у"(С) — бу'(t) — 2y(€) = 4 cos 2t – 4t³; y(0) -2, y'(0) = = -

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Q: 7²y+3y1 = -8 dy/dx %3D

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Q: 9. (х +у) dx - (у -х) dy %3D0; у (1) %3D1

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Q: Find formulas for dy and Ay if y = 7x – 7. %3D - dy = Ay =

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Q: (2x + y)ʻdx – 2dy = 0l

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Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

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Q: -1 Vx? + y² dx dy+ | ] .2 .2 + y dx dy -2 -1

A: In this question, we have two integrals with different regions of integration. Here we have to…

Q: 꾸dz + Pdy =0, y(-1) %3D2. (3-y) dx + (y 2x) ry²

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Q: (у? — Зу— х) dx + (2y — 3) dy 3D 0 | -

A: To solve the differential equation of the form M(x,y) dx+N(x,y) dy=0 then firstly determine ∂M∂y,…

Q: dx 9. J, 16 Vx-2

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (х-4y-9) dx +(4x +у-2) dy %3D0

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Q: y''' + y'' = cos(2t) y(0) = 1, y'(0) = 2, y''(0) = 3

A: See the details solution in below

Q: rV1-y² (x² + y³) dy dx -1 J-V1-y

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Q: (х+2у -1) dx - (2x+4 у-3) dy%3D0

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Q: 3. (у - 2)dx - (х - у - 1) dy %3D0

A: We have to find solutions

Q: (2x - y)dx + (4x + y - 6)dy = 0

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Q: d²y Find dy 34 y3 %3D こX+

A: Answer

Q: y = 6x² – 4x, - dy Find dt dx = 7,x = -2 dt

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: dy 3 y : 2 dx 1 sec2 y || + II

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Q: by (3x? + y²) dx+ (2.xy) dy 7. C: 3D1 from (3,0) to (0,4) %3D - = 1 6.

A: We are given the following integral:∫C(3x2+y2) dx + (2xy) dy over the path C: x29+y216 = 1 from (3,…