dy x2 (b) Find the general solution to the DE cos? y dx

Q: dy (e2y – y) cos x = e'sin 2x, y(0) = 0 = dx

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Q: . (solve exact de) (2ysinxcosx - y + 2y?e*v* )dx = (x - sin?x - 4xye*)dy

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Q: dy Find the General and Particular solution of dx 3y; y=3, when x=0

A: The differential equation is given as dydx = 3ydyy = 3dx∫dyy = 3∫dxlny = 3x+lnAlny-lnA = 3xlnyA =…

Q: (x– x'ye" )dy – dx = 0

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Q: dy =, with initial condition y(0) =2 is dx y The solution of %3D

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Q: Find the General and Particular solution of dy/dx = 4y ; y = 3, when x = 0

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Q: Solve the homogeneous DE 3xy dx + (x^2 + y^2) dy = 0.

A: We will take the substitution y=vx, to convert it into separable variable form.

Q: Find the general solution of this DE: yyx = e¬4y sin /x dx

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Q: Find the general solution of dy 2+ sin (x) dx 3(y – 1)² |

A: given,       dydx=2+sinx3y-12

Q: dy Find the particular solution of 2y- = x+ sin a when y (0) = 1

A: we have to integrate both side , we get

Q: Solve e*tany dx+(1+e*) sec?y dy = 0 .

A: Given query is to find the solution of differential equation.

Q: y_x + y х х — 1 dx

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Q: c) Obtain a general solution of + ! dy dx Y = sin x.

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Q: 2x e²x cos(y)dx + e* sin(y)dy = 0

A: This question is related to differential equations, we will solve it using given information.

Q: dw "(1),y = sin (1),-: 2) w=+ x= cos at =3 Ans. -1 dt

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Q: y = cos s (2² + 7) dy Find dx dy dx

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Q: If y = In(2x+3) , then find dy at x = 0. dx

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Q: y = x2/3 dx 9.

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Q: Solve the D.E [y(++csy)]dx + [x+Inx-xSiny] dy-o

A: Solve de

Q: when

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Q: Solve the bernoulli equation dx/dy+(2/x)y=-x^2y^2cos(x)

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Q: (x – y* + y? sin )dx - (3xy + 2y cos r)dy subject to initial condition y(0) = 1 (M

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Q: (y − cos²x) dx + cos x dy = 0

A: To solve the differential equation: y-cos2 xdx + cos x dy=0 Let us simplify this, y-cos2 xdx + cos x…

Q: Find the general solution of the DE dy/dx = y(x – y) / x^2

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Q: Solve this on І Гжу. d = y T2 x y Sin mx Sin ny dx dy =?

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Q: e^(x)cos(y)=1+sin(xy) dy/dx?

A: To differentiate :

Q: Find the particular solution to DE:  2xy dx = ( x^2- 2y^3 ) dy ; y ( 0 ) = -2

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Q: dy +y=(x-1)y' dx

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Q: The general solution to the DE + Py =0 is dx

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Q: Q20// when x3+y3+x?y xy2+x3 dy %3D dx find the general solution?

A: Given differential equation is  dydx=x3+y3+x2yxy2+x3 the given differential equation is homogenous .

Q: (e* – sin y) dx + cos y dy = 0; when x = 0,y = 1 - %3D

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Q: dy Find dx' 1/2 J cos (?) dt y =

A: topic - derivatives and integration

Q: 4. § xe¯ dx 6. |t sin 2t dt Jx² cos mx dx 8.

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Q: ædy – y(1+ In y – In æ)dx = 0

A: The given differential equation  is changed to  the variable separable form by using the…

Q: 30. cos(r + y?) dx dy 32. x²+ y² dx dy 2 y

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Q: Find the general solution of the DE sec x dy = y dx. O In y = e^x +c O In y = sin x + c

A: Our Aim is to find the general solution of the differential equation given below:-sec (x) dy=y dx…

Q: dy %3D 3 e*y* dx +

A: Givendydx+y3=exy4To Find:Solution of a given Bernoulli's equation

Q: dy 1+y3 Determine the solution for the given DE: + = 0 dx xy?(1+x²)

A: Proceed as shown below

Q: ydx = x(1+ xy4)dy

A: Given ydx=x(1+xy4)dy ⇒dxdy=xy+x2y4y⇒dxdy+x-1y=x2y3

Q: Find the General and Particular solution of dy/dx = 3y ; y = 3, when x = 0

A: The formula for integration of fractional function is given by: ∫1x=ln|x|. Given: dydx=3y ; y=3 when…

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

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Q: dy 4. = 4 sin 2x ; y = 2, when x = Tt/2 dx

A: Given a differential equation, dydx=4sin2x ; y=2 where x=π2 To find the general solution of the DE.

Q: 5. (e* – sin y)dx + cos y dy = 0; when x 0,y = 1/2

A: First we will convert the given differential equation into linear differential equation by…

Q: dy Find the solution to dx 5xy which passes through the point (0, e). (In y)? y =

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Q: Find the general solution of : x tan²y dx + (1+ Vx ) dy = 0

A: To find the general solution of : x tan2y dx+1+xdy=0

Q: Find the general solution to the following DE. y +x² dy = 0 dx

A: Given DE, y2+x2dydx=0

Q: Solve the DE by Integrating Factors 1. y² dx + ( 3xy + y² - 1) dy = 0

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Q: Ql find dy 2メ for y= cos ( Inx + e %3D dx

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Q: Find (dy)/(dx) : y = e13x cos x

A: Given:y=e13x cosxFormula:ddxuv =uv'+vu'