dy + 3x- dx The degree of the differential equation y- dy = 3 d'y + is dx dx? а) 3 b) 2 c) d) None of these O d b a

Q: y (2x + y 2) dx O a. y (2x + y) = Ce - 2(x + y) dy = 0

A: Given: The equation is y2x+y-2dx-2(x+y)dy=0. To find: Solution of the differential equation using…

Q: The order of the differential equation d (D®y + D® sin æ) = sin æ dx O 5 6 O 7 O 4

A: In this question we have to find order of differential equation.

Q: .D dy + x?y = sin(x) dx

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Q: Solve using separable differential equations dy 1 dx y3

A: We have to solve using separating the variables. xdydx=1y3

Q: d’y dx? Consider the differential equation x? dy -y 0. Which of the +x dx following is a solution to…

A:

Q: Form the second-order differential equation using the parametric definition of y = asine, x = acose…

A: For part (1) We have to find out the second order differential equation of y=asinθ,x=acosθ Use…

Q: sin(2t +) dt eu-3 %3D 64

A: Let, I =∫0∞sin2t+π2e2t-3dtApply integration by part ,Ist function = cos(2t) , since sin(π/2+x) =…

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: The complementary function of the differential equation d²y dx² 2 + 3x +y= dy dx 1 is (1-x)²

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Q: The differential equation d5y d³y 4x- + 5y=e* – cos2x in D-notation is dx5 dr3

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Q: Solve the differential equation dr + x² + y², dy = 0. r² + y? y?

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Q: yes, hi. I've seen another source, use set variables to 0 and then solve individually, answers are…

A: setting z=0 and solving for x and y. similarly setting y=0 and solving for x and z.

Q: Find the general solution of the linear differential equation: dy dx + (5x + 1)y=e-52.

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Q: Consider the variable coefficient linear non-homogeneous ODE where and where u and are unknown…

A: The given problem is to find the values of u' and v' for the which the particular solution yp =…

Q: Which one is linear differential equation a. d³y dy | dx3 dx O b. d³y dy +7x - 9y = Inx dx dx² dy C.…

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Q: dy/dx=(x+2y-3)/(2x+y-3)

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Q: Find the differential of the function z=2x'y %3D

A: If z is a function of two variables defined by z=f(x,y) then the differential dz or total…

Q: form the differential equation corresponding to (y – b) = 4(x -a) %3D

A: Given: The equation is (y-b)2=4(x-a)   To determine: The differential equation from the equation…

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 general solution to the differential equation A B C y = arcsin (esin 2) + C y =…

A: The given differential equation is:dydx=cos(x) esin xcos(y)

Q: Check whether the functions which satisfy the following differential equation are linearly…

A: Given differential equation x3d3ydx3+31-αx2d2ydx2+3α2+β2-3β+1xdydx-αα2+β2y=0 Given differential…

Q: Which one of the following is the Exact differential equation ? 1 (x2 +3xy)dy + (y³ +a²)dx = 0 3 (x2…

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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.