Which one is non linear differential equation O a. d³y +3x Y - 10y = x dy dx3 dx O b. dy + 8xy = 2x dx O c. d?y dx2 dy V = e=3x -6x dx O d. d?y dx2 d. dy - Y +(2x² + 5) = 0 dx

Q: Solve using separable differential equations dy X dx y2V1 + x

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Q: d³y + 4x². d²y +sin sin 2x dx2 dy 1. dx3 dx =sin sin y 2. y*dx + (2xy +lIn In y )dy = 0 d²x 3. (4y?…

A: Solution

Q: Solve using separable differential equations dy 1 dx y3

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

Q: Solve the equation by the method o f linear differential equations dx (1-3xy) y² dy xy³ = ² + C yx³…

A: The given problem is to solve the given ordinary differential equation by the method of linear…

Q: y is related to x through the differential equation: dy dx = ax + bx² + dx³ and y = c when x = 0…

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Q: The integrating factor of non-exact differential equation (æ³y³ – x®)dx – (y6 – x³y)dy= 0 1 xty3 +…

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Q: Solve the following differential equation Integrating Factor by Inspection: 1. (2y-3x)dx+xdy=0

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Q: solve the differential equation: 4xydx+ (4x² +3y)dy=0 Select one: O a. F(x,y) = 2x?y?+y³ +c O b.…

A: We have to find the function by solving the differential equation.

Q: 1. Find the order (write in number) for * y² d²y dx2 d5y 3x + 4x = 0. dx5 Your answer 2. + 4x = 0 is…

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Q: d5y 3) d²y d*y d3y + 13 dx3 13 dx2 dy + 36 dx + 36 y = 0 dx5 dx*

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Q: H3. Solve the following differential equations dy 1) 2) d²y dx² +4+4y=x²²e-²x, dx d²y dy -6 +9y=e³x…

A: Sol:- 1) y'' +4y' +4y=x-2e-2xy'' +4y' +4y=e-2xx2The general solution to axy''+bxy'+cxy=gx can be…

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: Which of the following equations is non homogeneous differential equation? O a. dz = (z + y)? O b.…

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Q: Consider the two ODEs dy dx dy dx +y=0 + y² = 0 equil eq.2 (a) How are the two equations different…

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Q: solve linear differential equations dy = x + 3y, dx x > 0.

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Q: Find the Wronskian for the differential equation dy dy 3- - 10y = 0 d.x - - dx? .A -3e30 .B 3e-3x .C…

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Q: The solution to the differential equation (x³y² + xy)dx=dy is x² a. 1=2x²y-4y+Cye ² 2 b. 1=…

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Q: Which is the correct differential equation of the y = x + be²* + ce² after elimination of the…

A: The explanation of answer as follows :

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: (b) (12xy2 + 6y + 3e*)dx + (6x²y + 2x)dy = 0

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Q: Which of the following equations can be reduced to the homogenuous linear differential equation with…

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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.