dy The particular integral of the differential equation dr? dy dx 5z +3 + 5y = e is %3D e5z 35 esz 55 5z 15 53

Q: d'y - a'y = 0 %3D the above differential has solution

A: Introduction :

Q: Solve x+ ye dr- xe dy = 0, y(1) = 0 %3D

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Q: dy when x = - 1 and dt Given y = 6x +7x, find dx %3D = 5. dt %3D

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Q: Solve the differential equation: d³y_d²y_dy + y = 0 dx3 dx² dx

A: Let us considre the differential equation L[D]=0 To solve the given differential equation  The…

Q: What is the order of the differential equation x²dy/dx - 2xy"=0?? A 1 B 3 с 2 D 4

A: Order of a differential equation is the highest order derivative present in the equation.

Q: The integral factor for the Linear Differential equation 4 - !y= x0 is -I Select one: O True O False

A: For the first order Linear differential equations:

Q: 17 (xr² + 3xy) dx - dy = 0

A: We can solve it by seperation method

Q: dy-(2y xe+2x²yex) dx (6 y3x -2x² e%) 1 the generl solution of the differential tion.

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Q: dy/dx+4y/x=6x-5 if y=1 and x=1 then C equal -2 2 -1 1 O O O O

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Q: dy 9. = 2+ e dt

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Q: dy +3. dx The particular integral of the differential equation + 5y = e-5z is dx? 35 -5x 15 53 5x 55

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Q: 2x + 2xy2 y + 2x²y dy dx ||

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Q: dy Given the differential equation -x²y4 +xy=x*. The degree of this differential equation is dx 40 2…

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Q: У L. y Find the logistic differential equation dy =ky 1-: -=ky dx

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Q: 3 (d²x)². 7 2 y (dx)² + y ² (dx) ² + 3y || 5x

A: Order of a differential equation  The order of the differential equation is highest order of the…

Q: dy y dx 2x = 3y2 – 2 when y = 1 and x = 1 in terms of x. %3D - -

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Q: dy If the integrating factor of the differential equation + py = q is 5x ,then the value of the p is…

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Q: dy + 2xy + xy = 0 dx

A: We will solve the following using partial fraction.

Q: The differential equation: 4 d'y (點) dy + x +y= x° is dx2 dx O Fourth order and non linear O Second…

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Q: What is the order of the differential equation? dy = 2x +3 dx 1 4

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Q: dx = x- y + 1 dt dy = y - x + 2 dt

A: Given: dxdt=x-y+1                       1dydt=y-x+2                       2 The above system of…

Q: Write an equation for the function graphed below 15+ 14+ 13+ 12+ + + + -7 -6 -5 -4 -3 -2 -1 -1 -2 -3…

A: A following graph:To Find:Equation of the above graph.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.