Find the solution to the DE. (y- x+ xycotx)dx + xdy=0

Q: Given that y =5u'+4u and x 1 hence find dy dx

A: Differentiation problem

Q: The equation (x-y)dx + ydy = 0 is homogeneous

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Q: dy c) Hence find the solution when x = 0, y = 0 and 1. dx

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Q: (у — ӕ + хусotx)dx + zdy — 0 y(0)= 3

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Q: Obtain the general solution of the equation d'y +6 dx dy ? + 10y = 50x dx %3D

A: Given : d2ydx2  + 6dydx+10y = 50 x

Q: The value of yx +y dx dy

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Q: In the given Bernoulli's equation 6y?dx – x(2x³ + y)dy = 0, what is S P-(y)dy? Iny 1/y

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Q: Find the general solution to the following equations: dy у-х dx y+x

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Q: NOTE: Enter the exact answer. yz dx dz dy -180 J–120

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Q: d.) (y³ + x ln ) dy + (y In ) dx = 0

A: we have to find

Q: Find the general solution of the following equations. dy 2. yv1+x csc?y dx dy 3. dx 1+x2 I| ||

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Q: Solve the I.V.P using [x = zry]. y di dx + (y cos ( 1 ) - x) dy = 0, y (0) = 262

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Q: Show that the equation is homogeneous and find its solution. dy/dx = x+3y/x-y

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Q: Consider the DE d?y dy + - 6y = 12x, y(0) = 1 - dx? dx 1 is a solution of the DE and determine 3…

A: y=Ae2x-2x-13 Differentiating with respect to x, we get dydx=A·2e2x-21-0   ∵deaxdx=aeax, dxndx=nxn-1…

Q: 1. Given that Y = e + Cosx, find: dy a. dr b. d'y/dx?

A: Hello , thanks for your question but according to our policy I am answering the very first question…

Q: M(x,y) + N(x,y)*dy/dx = 0 ? is it Exact Equation?

A: Consider the equationMx,y+Nx,y×dydx=0provided that there exists a function ψ(x,y) such that∂ψ∂x=Mx,y…

Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is dx Blank 1

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Q: (b) Given y = Ax + Ba?. Show that dy 2x- + 2y = 0. dx2 dx

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Q: Answer the given DE below: x (dy/dx) +y=y^2

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Q: Solve the Euler equation d²y dy 3x? dx -5у%3D0 +x dx given that y(1) =1 and y'(1) = 2.

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Q: Find the solution for Bernoulli equation below. dy y ху? dx

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Q: The point of intersection when the coefficients of dx/dy are equated to zero of the given DE:…

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Q: (b) I xy(z +2) dx dy dz

A: We need to evaluate the given triple integral. Note the integration result ; ∫undu=un+1n+1+C , C is…

Q: dy d. x = y + y³cosx dx е. dx - y = 2xy²e-*

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Q: What is the general solution to the following equation: (dx/dy)+ xtan(y)=2tan(y)

A: rewrite the given equation in the form of separable differential equation and integrate…

Q: Find the general solution dy y cos a + 3xy %3D dx

A: We solve the given differential equation by separation of variables.

Q: Is the equation separable, linear, bernoulli, or homogenous? dy а. dx x4 + 4xy² 2x3 + x²y +y³ b.…

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Q: So S (2x + 3z – y). dz. dy. dx B- Solve

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Q: Find the conditions such that the equation M (x, y) dx + N (x,y) dy = 0 mogeneous and exact.

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Q: 1. Find the general solution of (y? – 1) = 4xy? dy %3D dx

A: Topic:- differential equations

Q: 1 s S xe^ dx dy xy 0 0 –1 2.

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Q: D.E Poll owing (1+y)dx= (bany -x) dy Solve the %3D

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Q: Find at the given point without eliminating the parameter. dx2 1?, y = , X = 2 t = 2 3

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Q: dx + 2xy = sin y , x(n) = 1 - dy

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Q: = cos?y is dx The general solution of the DE

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Q: dy The solution of dx with initia y

A: Introduction: Separation of variables: This method is only practicable if the differential equation…

Q: The µ(x) that converts the equation below into an exact equation x dy (x*ev ++ (2x²e" + 1) = 0 y) dx…

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Q: Find the general solution or particular solution. (y-x+ycotx)dx + xdy = 0 a. dy :- my = c,e ; where…

A: standard linear differential equation of order 1 dy/dx + Px=Q

Q: A. Determine the solution set of the following equations using variable separable. 1. xy dx + e*dy =…

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Q: 2. Determine y so that it will satisfy the equation: d'y_dy dx = 4e* +3e²* dx with conditions y(0) =…

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Q: Find the particular solution of (xcos? - y) dx + xdy = 0 ; where y and x = 1 - у %3D = - 4

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Q: Find the value of d-y/dx at the point defined by the given value of t. x- 6t 2 -3, y= t 5, t=1 3D1…

A: Take the derivative than eliminate the extra terms as required.

Q: dx Reduce the given DE into Bernoulli's equation: = 3x³y? y dy +

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Q: Check for exactness and solve (3.ry + y)dx +(x +.xy)dy = 0.

A: Given (3xy+y2)dx+(x2+xy)dy = 0 Compare it with M dx+ N dy = 0 Here M = 3xy+y2N = x2+xy This equation…

Q: Is the equation separable, linear, bernoulli, or homogenous? dy а. dx x4 + 4xy2 2.13 + x²y +y³ b.…

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Q: Find the complete solution First order DE dy = 2y3-ye dx Xe^y -6xy²-2y

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Q: Find the solution of the equation dy -y = x dx | subject to the condition y(1) = 2. %3D

A: Given differential equation is xdydx-y=x and y(1)=2

Q: Solve the DE shown below, with boundary condition y(1) = 1. (1 Point) %3D xdy - (4y + x')dx 0

A: GIVEN EQUATION IS LINEAR DIFFERENTIAL EQUATION.