Find the solution using variation of parameters to the diffrential equation (D3 + D)y = sec2x

Q: Determine whether the equation (3x + 2y)dx + (2x + y)dy = 0 is exact. Find the solution if it is…

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Q: Q1) Y"+5y"+9y'+5y=3e*2x solve the equation in method variation of parametric

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Q: (x + y – 2) dx + (x – y + 4) dy = 0 |

A: Given:-(x + y - 2) dx + (x - y + 4) dy = 0To find: Find the family of equations

Q: Find the solution. 2y dy =x?y²sinx dx

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Q: What is the numerical approximation to 1 3 -dx -1 2+x using the basic trapezoidal rule? (а) 0 (b) 2…

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Q: '4 I x1/2 dxi n = 8 (a) Approximate its value by using the Trapezoidal Rule.

A: Given: ∫04x dx where n=8 To find: The approximation using the following, a) Trapezoidal rule, b)…

Q: B. Solve the followina equation using the dete 3. 2y(x2 -y + x) dx + (x2- 2y) dy = 0

A: Given,                  2y(x2-y+x)dx+(x2-2y)dy=0

Q: Determine the solution of the equation using coefficient s linear in two variables metho: (x − 3y +…

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Q: Solve using Bernoulli's Equation. y(6y^2 - x - 1) dx +2x dy = 0

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Q: y' = 5y + y?

A: First we convert the given Bernoulli equation into linear differential equation. After that we…

Q: 4,y² – 25 3. dy 4. V21+4z-z? dz

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Q: Obtain the general solution to the equation. dx y dy + 6x=5y

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Q: Solve the equation dy --y=-y*(x² +x+1); y(1)=2. dx

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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: Solve using the method of variation of parameters: y" + 4y = sec X. %3D

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Q: (x + 2y – 1)dx + 3(x + 2y)dy = 0

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Q: (b) Use the substitution u = x In y to solve the equation (ry + 2ry In² y + y In y)dx + (2x² In y +…

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Q: Solve for the value of C in the equation: dy – (y + xy³)dx = 0 when y(0) = 1

A: The given differential equation dy-y+xy5dx=0dydx=y+xy5dydx-y=xy5 It is first-order Bernoulli's…

Q: Q9// find the general solution (sec'x + (cotx)y)dx + (Insinx)dy = 0

A: Using the basic properties of trigonometry and expanding the expression we can find the solution to…

Q: [1+ (x + y)²]dx + [1+ x(x + y)]dy = 0

A: Given: 1+x+y2dx+1+xx+ydy=0

Q: Solve the Linear DE: 2y (y2 - x) dy = dx. %3D

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Q: Q9// find the general solution (sec°x + (cotx)y)dx + (Insinx)dy = 0

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Q: Find the yp of the equation (D2 +4y=asinax + 4e ex %3D

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Q: Solve the differcential equation dy = xy - x, given that y = 2 when x = 0, expressing y in terms of…

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Q: Find all values of the constant c so that (2x + y) dx dy = 3.

A: Given: ∫01∫0c2x+ydxdy=3 To find value of c. Solving the given integral, we get…

Q: Solve the equation dy y° – y, - dx? dy giving that dx 0 when y = 1 and y = 2 when x = V2. %3D

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Q: ty" – (t+ 1)y' + y = t?

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Q: Determine whether the equation (3x + 2y)dx + (2.x + y)dy = 0 is exact. Find the solution if it is…

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Q: dy sin(r-y). dr Q(3) Find the general solution of %3D

A: we have to solve the given differential equation

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: Solve the @iven dif frerenticul equation uning the variables method of seperatio n of dy 4y+3

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Q: 1 (x + y )dx = xy²dy

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Q: Y"-2y'+2y=e^2x(cosx-3sinx) by using  Variation of parameters

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Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

Q: Use the method of variation of parameters to solve. y" + 4y = 8 tan t - "/2<t<"/2

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Q: dy %3D dx = (9x + 4y + 1)?

A: The given equation is, dydx=9x+4y+12                     .........1 Let 9x+4y+1=v…

Q: Solve the equation using Variation of Parameter:  (D^2 + 1)y = sec^(2x)csc x

A: Given that: (D2+1)y=sec2x.cscx

Q: (d) , 2x Vx2 + 2 dx -5 (e) Si J5-y dy

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Q: Solve t-r sec'y= 2g tan y,

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Q: Solve the equation by using the method of variation of parameters: d2y dy dx = X 2. dx

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Q: Find the solution of: dy 2y 3x when x = 1, y = -1 dx 2у + ||

A: A differential equation of first order is said to be homogeneous if it is of the form dydx=Fyx. It…

Q: Find, the, general solution of 2 dy + y = xe"Inx. dx²

A: Given the differential equation           y''-2y'+y=xexlnx Find the general solution.

Q: Solve the equation (2y³ – x³)dx + 3x²ydx = 0. correction to the 2nd term: dy

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Q: Solve using variaiton of parameter (D³ – 3D +2)y = (1+e2x)-1/2

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Q: Determine whether dx = y - x* has a unique solution, for which y(0) = 7

A: To determine: The differential equation dydx=y4-x4 has a unique solution for which y0=7. Concept…

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: Obtain the general solution to the equation. dx 8 y: + 4x = 9y dy

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