+ 2+x = 2t²u(t) x(0) = 0; x'(0) = 0 %3D %3D %3D

Q: II. Bernoulli's equation: dy 4. dx -2y %3D글x" xy3

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

Q: Solve dy dx =-y with y(0) = 1. Find y(0-01), y(0-02) by Runge-Kutta method.

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Q: y-3x + (4y+3x)(dy/dx)= 0 Homogeneous equations

A: Given is a homogenous differential equation, therefore solve by substituting y=vx.

Q: 2. У(x3е*У — у)dx + x(у + х3ехУ)dy %3D 0 -

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Q: 1 dx = 9 inches per second :- dt y = 1 + x2 (a) x = -3 dy in/sec %3D dt (b) x = 0 dy in/sec %3D dt…

A: Topic-derrivative

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Q: Homogenous (2x²y + y³)dx + (xy?. 2 – 2x³)dy = 0 -

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Q: What is the general solution of =? %3D dx y2+1 What is the general solution of (y + 1) = 2x? %3D…

A: (As per bartleby guidelines, for questions containing multiple subparts, only three subparts will be…

Q: Q3/ Determine the particular solution of the equation 4-3=9 given the boundary conditions the dx x =…

A: Given differential equation d2ydx2-3 dydx=9at x=0 , y=0 and  dydx=0

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Q: 2. (2x +y -3) dy = (x + 2y -3) dx.

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Q: Solve dy/dx =( y+x-2) /(y-x-4) Equation s reducible to homogenous form

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Q: Finding a General Solution Using Separation of Variables. dy/dx= (x-1)/y3

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Q: Q3 (d^2 y)/(dx^2) - 2dy/dx of Undetermined Coefficient) 20e^(-x) cos(x), y(0) = 0 = y'(0) (Use…

A: we have to solve given differential equation by using method of undetermined coefficient

Q: 4. (x+ 2y-1)dx-(2x+y-5) dy =o

A: According to question,Given differential equation,x+2y-1dx-2x+y-5dy = 0

Q: (v² +3 yx)dx +(3x² +cos y-e' )dy = 0.

A: It is problem of exact differential

Q: 3X e dx 3x + 3 X e a) S x sin (4x) dx x-y=-1

A: As per guideline we have to solve only three SUBPARTS from one question. Since both questions are…

Q: 3. Obtain the Particular Solution when x = 4 and y = 1 (x+ y - 4)dx – (3x- y – 4)dy = 0

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Q: Find the solution asked using the process of Homogeneous. (16x + 5y)dx + (3x + y)dy = 0; the curve…

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Q: Obtain the particular solution when x = 1 and y = 1 yl? - y² + 1) dn - xlx? - y? - 1) dy = dx – x(x²…

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Q: 1. (x+2y-1)dx-(2x + y-5)dy =0 2.

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Q: (2xCosy+3x²y)dx+(x²-x²Siny-y)dy =0 «

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Q: dx (iii) f 1 dx sinh x (iv) S (x-3)Vx²-6x+8

A: LetI=∫1sinhxdxUse the Hyperbolic identity:  1sinhx=cosechxUse the common integral:…

Q: (16x + 5y)dx + (3x + y)dy = 0 the curve to pass through the point (1, –3)

A: Given information: The differential equation is 16x+5ydx+3x+ydy=0. Calculation: Solve the…

Q: 3. (x - 1)dy - x?ydu = 0 4. (x2 - y2)dx + xydy = 0 5. (x2 - y)dx - (xdy – ydy) = 0

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: BERNOULLI'S EQUATION dy 1 2(y+1) 2) dx 2(y+ 1)* x+1

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Q: 3x (xy-2) dx + (x%2y) dy =0

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Q: 3x + 2y dy 30. dx y(-1) = -1 3x + 2y + 2

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Q: (16x + 5y)dx + (3x + y)dy = 0 the curve to pass through the point (1,–3)

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Q: (1+x^2)+(y-e^ Arctan x)dx/dy

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Q: X ( CSC ( X ) - Y Inx- X y - y dx + x dy = 0 dy - (Iny - Xdx X

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Q: dy 1- dx e-x-y-2 У (0)- -2 dy 2- dx ylny y(0)=e? 1+x2

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Q: dy 1- dx e¯x-y-2 y(0)= -2 %3D dy 2- dx ylny %3D 1+x2 y(0)=e²

A: 1. ddxy=e-x-y-2,   y0=-2A first order separable ODE has the form of Ny·y'=MxRewrite, we get eyy'…

Q: x² - y² + xy dy/dx =0  What is the general solution of differantial equation

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Q: (y-cos^2 x) dx + cos x dy = 0

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Q: Find the general solution of: dx+(1+x^2)cotydy=0

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Q: d’y_2dy 3 y=2sin°(x) dx Determine the general solution of 2 dx

A: We have to determine the general solution of the differential equation…

Q: 4x − 5y + 3)dx − (2x − 3y − 1)dy = 0 how solve this problem?

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Q: Solve the disfertial equation xy' -Y =Xtan ) %3D

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Q: y(1-x^2) dy/dx=x(1+y^2) solution of first order Deferential Equation

A: We have to find solution of y(1-x2)dydx=x(1+y2)

Q: LLL- (x+ y+ z)dydxdz. -1 J-1 J-1 |

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Q: y(x^2 + y^2)dx + x(3x^2 - 5y^2)dy =0 when x=1, y=1 homogenous eq

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Q: 1) x(2y-3)dx +(x'+1)dy-0 (x+1)(2y-3)=c ans:

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Q: (x^2+y^2+1)dx+x(x-2y)dy=0. Solve using integration by INSPECTION

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Q: 9. use "Bernoulli's Equation" method (ye-+y)dx-e-dy 0

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Q: Geberal solution of (3xy +3y - 4)dx+(x+1)²dy

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Q: a) arctan(y) dx + 1+y2' dy = 0 b) (x² + y²)dx + (2xy+ cosy)dy = 0 %3D

A: Here we have to check whether the above ODE is an exact DE and if they do exist then we have to…

Q: 04/ Determine the particular solution of the equation d²y dx2 = 9 given the boundary 3 dx conditions…

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Q: [2x.ex dx=2x.e-fe.2dx =2x.e- er.2 =2e* (x-1) H.W. 2-1x3.ex de 3- f x2. cosx dx 들 27

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Q: y∅=y^-2 is the integrating factor of 2y(x+y+2)dx+y^2-x^2-4x-1)dy=0

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