The degree of the differential equation 2 (d²y' (dy\ 3 +1 = 0 dx2 dx, none O not defined O 2

Q: SOLVE FOR EXACT DE DIFFERENTIAL EQUATION 3. (x + 3)cos ydx - [siny In(5x + 15) - y] dy = 0

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Q: 7. х%3D Аy? — In By

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Q: determine the general solution of the given differential equation that is valid in any interval not…

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Q: The order of the differential equation of all circles of given radius a is: 3 2

A: Let's find.

Q: 9. From the differential equation sinh 2x, sketch some of the family of curves. %3D dx

A: Given differential equation, dydx=sinh(2x)dydx=e2x-e-2x2∫dy=∫e2x-e-2x2dxy=e2x+e-2x4+C

Q: A solution to the partial differential equation. 9. is dy?

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Q: find solution of order differential equation  dy/dx=cos2(x-y+1)

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Q: Use integration to find a general solution of the differential equation        dy/dx = 4x2 + 7

A: Given ,     dydx=4x2+7      dy=4x2+7dxThis is variable seperable form .

Q: Since dv = cos( cos9 x) dx, integrate the differential equation to obtain the function v. V = ^p -…

A: We have to find solution

Q: solve the differential equation. tan2 y dy = sin3x dx                   when y(0) = 0

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Q: Obtain the differential equation by eliminating a and b from the rdation y=a cos 4x +b sin 4x

A: Given equation is y=a cos4x + b sin4x find out the DE by eliminating a and b

Q: Solve the differential equation below: xcosydy+sin2ydy-dx=0

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Q: y' cosx f. -=cos y

A: The given differential equation is,y'cos2x=cosy

Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: Determine the general solution and the particular curve that goes through point (0,0) of the e* cos…

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Q: USE EXACT DIFFERENTIAL EQUATIONS To SOLUE THE $OLLOWING: In dx-tn(x=2) 'पर्क - डेण बर =0 y dy dx 3D0…

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Q: Determine the equation of the curve passing through the origin in the from y = f(x) which satisfies…

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Q: Solve the differential equation by separation of variables. Show your complete solution. 1. (x+2)y =…

A: This question is based on differential equation solution.

Q: The general solution of the differential equation by direct method: dy sec2 x dx 1+ 2 tanx y =…

A: According to the given information, it is required to find the general solution of the given…

Q: (2 + tan2x)(1+е"У)dx — е У tan x dy %3D 0 = 0 %3D

A: Given differential equation is 2+tan2x1+e-ydx - e-ytan x dy = 0,   yπ2=0

Q: xcosydy + sin2ydy – dx = 0

A: First arrange it in the bernouilli equation then find its integrating factor. Then  use the formula…

Q: The differential equation corresponding to the family of curves y = Asin2x+ B cos 2x , where A and B…

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Q: What is the auxiliary equation associated with the second order linear differential equationd^2x…

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Q: Use integration to find a general solution of the differential equation       dy/dx = cos 2x

A: The given differential equation is  dy/dx = cos 2x.

Q: Consider the differential equation dy dx with a particular solution y = f(x) having an initial…

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Q: Find the differential equation of all family of straight lines at a fixed distance p from the…

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Q: dy COS X + y sin x = sec² x dx solution of above differential equation is

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Q: 2ydx + x (x² In y – 1) dy = 0

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Q: The solution of the differential equation using variable separable 4/1- y². O sin y = 4x +e O cos 'y…

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Q: Find the general solution to differential equations 2 #) (-2xy) dx + (Siny-x²) dy +³

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Q: Find the differential equation having as solution of y = x sin(xtc) .

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Q: 2. y" + 4y' + 5y = cos(x)

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Q: 1. (х — у)dx + хdy %3D 0

A: 1) Given:            x-ydx+xdy=0           xdy=y-xdx           dydx=y-xx  set y=rx…

Q: 7: From an integral equation corresponding to the differential equation d²y dx² dy - sin x- +exy = x…

A: What is Integral Equation: Like differential equation, there is also integral equation. In integral…

Q: Solve the differential equation ydx + (y-x) dy =0 by forming integrable combinations.

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Q: Find the differential equations having as solution of y = x sin(xtc) .

A: We find the differential equations having as solution of y = x sin(xtc) .

Q: 3. (cosy + ycosx)dx + (sinx – xsiny)dy = 0

A: Given: cosy +ycosxdx +sinx-xsinydy =0 ⇒cosydx +ycosxdx +sinxdy-xsinydy =0

Q: is there any homogeneous linear second order differential equation such that two functions e* and t²…

A: Given: The two functions and   is the solution of the second order differential equation

Q: 1. x In x sec² y dy + [tan y – (In x)°]dx = 0 When:x = 1; y =

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Q: The linear differential equation y' - cotx + 3y csc x = 0 has the integrating factor tan A tan () B…

A: The objective is to find the integrating factor of given equation: y'-cotx+3ycscx=0

Q: Transform into first order linear form the differential equation sin 0 dr 2rcos0 %3D OP

A: First order linear form of the differential equation is:  drdθ+P(θ)·r = Q(θ) hare P(θ), Q(θ) are…

Q: 3. (sin'x + cosv)dx - tanxsin2ydy = 0

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Q: Use integration to find a general solution of the differential equation                dy/dx = sin…

A: given differential equation as dydx= sin 2x or it can be written as dy=sin 2x dx

Q: Use integration to find a general solution of the differential equation       dy/dx = 2e3x

A: Consider the given differential equation as dydx=2e3x

Q: dx + dt? dx +x = 2 dt x, dt6 dt3 = of this differential equation is 9, help (numbers) tion is Choose

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Q: Obtain the Differential Equation from the given general solution. y = C¡ cos(4x) + Cz sin(4x) + Cx…

A: Use the following formula, to find the solution. ddxcosax=-asinaxddxsinax=acosaxddxuv=udvdx+vdudx