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: A1. The differential equation of the function y = ax? + b where 'a' and 'b' are constant is: a) y' =…

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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: 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…

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

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Q: Bessel equation d²y dy +2x- + (x² – 4)y = 0. dx? dx

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Q: The complementary function (C.F.) of the differential equation:(D² +3?)y=cos lz s. O ge* + cz sin 3z…

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

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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: The order and degree of the differential equation A) 2 and 4 B) 3 and 4 2 and 3 D) 3 and 2 d²y dx2…

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Q: Solve the differential equation with subs equation : S y(s) = (s+2)² +1 O e?"(cos t – 2 sin t) O e2"…

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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: Solve the given differential equation y liv) -81y = 0 %3D O a. y- c,e + cze 9* + C3cos3x + C48in3r +…

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Q: ôʻy The order of the differential equation 5x- + 3x + w²y = 0 is ôx 3 dʻy The degree of the…

A: To find order & degree of differential equations.

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: 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…

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.