dy 47. = cos cos 2x, y(0) = 3 dx

Q: Solve the differential equation. dy 10VX dx ey

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Q: What is the particular solution to the differential equation = (x – 1)(1 y) with the initial…

A: givendydx=(x-1)(1-y)we will solve this equation by Variable separable method

Q: solve the differential equation dy * y t (yt-x*) ニ ans : -in ( )

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Q: sinx dy = 0 y cos xdx + 1+

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Q: Solve the first order differential equation dy ycos' x 1+ sin x dx

A: The given equation is first order, linear differential equation.

Q: Solve the differential equation dy/dx =x/y2 with initial condition y(0) = 2.

A: Given : dydx = xy2

Q: Verify that y=sinx is a solution to dx dy 2cos x-sin x+y and solve the 2 cosx differential equation…

A: Given Information :  Differential equation : dydx = 2cos2x - sin2x + y22 cosx  y1 = sinx y(0) = -1

Q: 4. 2ydx + (x ay³) dy = 0

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Q: Solve the differential equation for y. 2 dy d²y ey dx. dx² 3%. =

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Q: Find the general solution of the first-order linear differential equation (y − 1) sin x dx − dy = 0…

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Q: Determine whether y 3 sin 2x + e-a is a solution to the differential equation y" + 4y = 5e

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Q: Find a particular solution y, of the differential equation: y" + 9y = 2 cos 3x + 3 sin 3x

A: Explanation of the answer is as follows

Q: Calculate the solution to the differential equation dy = 2e- with y(0) = 1. dz

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Q: dx at + tx + = 0

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Q: 1 dy Q.1 Show that the function y = is a solution of the differential equation = 1- dx

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Q: Find the solution of the differential equation below which satisfies y(0) = - and y' (0) = . %3D d²y…

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Q: Solve the separable differential equation dy e*ye®* dx with initial condition y(0) = 1.

A: Given : dydx = exyeex

Q: 4. Find the general solution of the differential equation using the method of undetermined…

A:

Q: The solution of the exact differential equation (²+y' cos x)de+ (2xy+3y sinx)dy=0 is:

A: The given equation is y2+y3cos xdx+2xy+3y2sin xdy=0 The given equation is of the form Mdx+Ndy=0…

Q: y" + 25y = 5 tan²(5x) cos(5x)

A: To Determine :-  The second order differential equation : y'' + 25y = 5 tan2  5x cos  5x

Q: (1+Inx)dx +(1+Iny)dy = 0 when y(-2) =- 1.

A:

Q: Find the solution of the differential equation dy = cos(5x) Vy dx which satisfies the initial…

A: y'=cos5xy dydx=cos5xy dyy=cos5xdx y-12dy=cos5xdx take integration

Q: Solve the separable differential equation. dy (1+y²) coshx dx 9+sinh x

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Q: Solve the differential equation dy/dx = ex-y + ex + e-y + 1

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Q: dy 2v= cos2y = cos2y

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Q: State the order of the given ordinary differential equation. dzy dx2 dy V 1 + dx

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Q: What is the particular solution to the differential equation dy/dx=(x-3)y with the initial condition…

A: A differential equation is an equation in x,y and derivatives of y. A linear first order…

Q: 1.) Obtain the general solution of the differential equation dx – (1 + 2x tany) dy = 0.

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Q: . Solve the differential equation dx 8 7. + di? 1, L are constants subject to the conditions, where…

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Q: Find the I.F of this nonexact differential equation dy/dx=1/(2xy)

A: Please see the answer below.

Q: Find the general implicit solution to the differential equation xy2 cos(x)dx + 2xy sin(x)dy = 0.

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Q: Solve the differential equation. dy/dx = 3x2y2 for y ≠ 0

A: This question can be solved by seperating x and y terms and doing integration.

Q: Solve the non-Linear differential equation dy Cos y de sin y(1 – 0 sin y),given that y(0) = 8.

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Q: Solve the differential equation. dy – 2y , x > 0 COS Z - dz

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Q: Solve the differential equation. dy = 5 ex-y dx

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Q: Solve the differential equation - Xtan(y – x) = 1 dy dx

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Q: Solve the differential equation dy/dx=5-x/y with the inital condition y(6)=-4.

A: We have to solve

Q: Solve for the differential equation: dy/dx - ytan x = cos x

A: To find the solution of the linear differential equation of first order y'+Py=Q, where P and Q are…

Q: Solve the differential equation dy/dx =(3x^2 - sin⁡ y)/x cos y.

A: By using exact diff equation

Q: dy 6 cos(nx) dx

A: Given differential equation is  yy' = 6 cos(πx)

Q: Solve the differential equation 2 dy dy 1+ dx dx2 assuming x > 0 and > 0. dy dx

A:

Q: 5. Solve the second order differential equation, dx2 + 4+ 4y = cos2x, given y = 4 and dy :3 when x =…

A: 1f(D2) cos ax = 1f(-a2) cosax 1D X =∫X dx

Q: Solve the differential equation dy = 1+ x. dx Use the initial condition y(1) Express y° in terms of…

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Q: Solve the differential equation dy 1 dx 3y3 By the method of separating the variables

A: Answer is in below step.

Q: Solve the differential equation dy/dx = 4 sin 2x ; y = 2, when x = π/2

A: Given: dydx=4 sin 2x Also given that x=π2…

Q: The solution of the differential equation using dy = 5/1- y? dx variable separable is cOs 5х + с O…

A: Solve by variable separable

Q: Solve the differential equation dy 3y3 1 dx By the method of separating the variables

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Q: Find the general solution of the first-order linear differential equation (y + 1) cos x dx − dy = 0…

A: We have to find general solution of the first-order linear differential equation: y+1 cos x dx-dy=0…

Q: 4. Find the general solution of the differential equation using the method of undetermined…

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Q: Solve the differential equation: dy 1 1 1)y – x +1 = 0, y1= ax - - dx

A: The given differential equation is dydx-y2x-21x-1y-x+1=0. Substitute y=ax in the above equation and…