. Solve the differential equation d²y + y = csc x dx2

Q: - Solve the differential equation (x² +y° )dx+ xy dy =0.

A: Topic = Differential equation As per guidelines  , At a time only one question can answered out of…

Q: Solve and find the domain for the differential equation: (x2y2)dx + xydy = 0 , y(3)=-6

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Q: Solve the given differential equation. 11x² – 1 11 + 5y y' =

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Q: 2. Solve the differential equation x²y' + 2xy = 5y³

A: Given a differential equation x2y'+2xy=5y3. Re-writing the above differential equation,…

Q: B)Solve the differential equation x+4y

A: Given differential equation dydx=x5+4yx. The objective is to solve the differential equation.

Q: Q2 Solve the differential equation dy dx x +1

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Q: c) Find the general solution to the differential equation = 3x(y + 8).

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Q: xy メy = x2++? dメ

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Q: (d) Solve the differential equation xy' = x² + 3y, for x.

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Q: (x5 — y2 )dx + 2xy dy = 0

A: Given: (x5 — y2 )dx + 2xy dy = 0

Q: Solve the differential equation y?dy = x(xdy – ydx)e*/y

A: Please refer the attached image for complete solution.

Q: solve the differential equation x2yy'=(y2-1)3/2

A: To solve the given differential equation :-

Q: xy + Xy = x²+4² dメ

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Q: Find the differential equation y = ae x + blnx + cx + d

A: Given that: ‘y=aex+blnx+cx+d…

Q: (х? + 2y?)dx — хуdу %3

A: A first order differential equation in two variables can be written in the form dydx=fx,y. This can…

Q: Q5/ solve the differential equation (x² + 2xy) dy = (2xy + 3y²)dx

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Q: d²y dy 4х — + 6у — 4х — 3 dx | dx2

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Q: B- Solve the differential equation (D² +1) y = x² cos 5x

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Q: 6xydc+(ty+9x?)dy =0

A: We have to solve the differential equation…

Q: Q8// Solve the differential equation dy 2y3 dx yx2 + y3

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Q: a. Solve the differential equation of (2x + y)dx – xdy = 0

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

Q: xdx + ydy == (x² + y²)dx

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Q: dy V1-y² dx ? 1-x² |

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Q: a?dx = x/x? – a? dy 2 2

A: Use variable  separable form

Q: Solve the given differential equation (y? + yx)dx – x²dy = 0

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Q: d) Solve the differential equation of y"" + 4y' = sec 2x

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Q: Q9// Solve the differential equation dy x-= y + Vx² – y² dx

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Q: Solve the differential equation y’=xsqrt(y); y(0)=1

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Q: dy 2 y -x²y² dx

A: Solution: This equation is a Bernoulli Equation i.e. dydx+Py=Qyn where P and Q are functions x

Q: dy + 3y = 3x²e-3x dx

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Q: 2. Solve the differential equation d?y + y = csc x dx²

A: The given differential equation is d2ydx2+y=csc x

Q: Solve the given differential equation. (x² + 9) dy = (2x − 8xy) dx

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Q: Solve the linear differential equation dy y = 2x2 - %3D dx x

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Q: Solve the following differential equation.  (x2 + 1)dx + x2 y2dy = 0

A: Given x2+1dx+x2y2dy=0 Apply formula ∫xndx=xn+1n+1+c,     n≠-1

Q: Solve the differential equation below: y”+y'-6y=36x

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Q: (a) Solve the differential equation y' = x/1- 9y2.

A: The given differential equation is a separable differential equation. Hence, we find the solution of…

Q: y'- 5y = x°e* – xes*

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Q: Solve the differential equation: xy' + 2y = 25xy, y(1) = 2.

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Q: Solve the differential equation: xdy/dx + x2y = 3x2 , y(1)=6

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Q: (x*y- xy")(xdy + ydx) + dy = 2xdx

A: To solve the differential equation we use some special form

Q: a) Solve the differential equation: dy X - dx + (2x – 7)y = 8x7 -

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Q: solve the following differential equation y' + (8/x) y = x6 y4

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Q: Solve the differential equation below: (D-1)(D-2)(D-3)y=e^x

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Q: I. Solve the differential equation. (y-1ldv +x Cx+1)dy = o

A: Solution:

Q: Solve the differential equation: x? (p? - y ) +y =x* +2xyp

A: For the detailed solution of the problem follow the next steps.

Q: 2. Find the general solution of the differential equation: d'y, d'y dr d'y fy dr3 dr dr

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