I e-32² (y2 +3) dy 7. Which of the following is the particular solution of the differential equation dx when x = 0? A. 2y³ + 18y=e³r² -6 C. 2y³ + y² + 18y = ³2² - 1 B. 2y³ + 18y=e³3² – 1 D. 2y³ + 18y = 6e3z² - 6 ΟΑ OB O C OD ◄ Previous given y = 0 Next >

Q: The solution of the differential equation 3.9 + x² + x²y+ 3.9y 1+ Y dy dx using variable separable y…

A: The given equation is dydx=3.9+x2+x2y+3.9y1+y On simplifying this, we get…

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: Solve the following differential equations: 1. x(x + y)dy + (y+ 2x)dx = dx

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Q: If B- 4AC = 0, then the general solution to the differential equation Ay+ By + Cy = 0 takes the form…

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Q: Solve the differential equation / + a + 3 4y = (x+ 3)5 %3D where y 5 when aD 0. %3! v(a) = %3D

A: Solve the given differential equation using Integrating Factor.

Q: dy %3D ху + 3х — 2у — 6 dx -

A: We have dydx=xy+3x-2y-6 Now, we can write it as…

Q: Find the general solution of the differential equation d2yd2-3dydθ+2y=2sin 2θ -4cos 2θ

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Q: Which of the following is a solution to the differential equation xy - 2y = 2?

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Q: Solve the 1st order differential equation y3+x-1 y = x dx

A: Given differential equation is y3dydx+x-1y4=x. Note that the differential equation is of the form…

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

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Q: Solve the differential equation. a. 4y5dx – 3x²ydy = 0 |

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Q: Which of the following differential equation has the same order and degree? [dy]6 + 5y = e* A. + 8…

A: See the answer below

Q: Form a differential equation from y = 3cx - 4, here c is the arbitrary constant.

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Q: Identify the linear differential equation. d'y 3 + ( – 1) + a*y = 5 + x?y = 5 dz? dr4 O 5y" + 4xy'y?…

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Q: Solve the differential equation. dy = e5x - 5y dx O y = In (e5x + C) O y =In (e5x + C) O y = 5ln…

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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: Which of the following is NOT a differential equation? Select one: O dy dt = 3y = 2x²y + y² = 6 d²y…

A: A differential equation can be defined as an equation that relates one or more unknown functions and…

Q: 10. xy dx - (x + y') dy 0 Ans. 3 p3 +log y = C

A: given D.E isx2ydx-x3+y3dy=0---1is of the form Mdx+Ndy=0where M=x2y;N=-x3+y3∂M∂y=x2  ; ∂N∂x=-3x2

Q: d³ y The order of the differential equation + 5 dx3 a. 5 b. 4 4 5 (²2)* + 3 (1x)³ = 2 sin x is dx,…

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Q: d²y _ dy dx? --2y=0 dx

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Q: (3 + y + 2y²sin²x)dx + (x + 2xy – ysin2x)dy a. F = y? + x? – 4xy – 6x – 2y2 + C b. F = x?y? + x² –…

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Q: Solve the differential equation y – 5y/" + 6" + 4y/ – 8y = 0. Oy = cer + czxe²" + cze¯* + c4xe O y =…

A: We need to solve the given differential equation. This can be done as follows:

Q: solve the first order homogenous differential equation (x² + æy) dy = (æ² + y²) dæl

A: The differential equation is given as x2+xydy = x2+y2dx It can be rewritten as dydx = x2+y2x2+xy…

Q: d²y dx2 +y=x²+2

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

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