Which of the following equations can be reduced to the homogenuous linear differential equation with constant coefficient? О а. d?y dy + 3x- dx dx3 dx? d³y + 2x³. dx? b. d²y dy + 3x dx dr3 d³y 2x2. dx² d²y dy C. + 3x = 0 dx3 dx d. d³y d?y dy = 0 dx + x + 3x². dx3 dx? O e. d³y + 2x² dx? d²y dy + 3x- dx

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Q: Which of the following is the transformed form of the 2y = x(y')³ – (v')² + 1 differential equation…

A: Given 2y=xy'3-y'2+1

Q: * jax vnen 8. xy dx + 2(x² + 2y²)dy = 0 ; when x = 0, y = 1

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Q: Determine whether the following equation is a solution to the corresponding differential equation.

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A: y = C1 e4x+C2 e5x  To find :- Differential equation of given equations  Method:-  Here in given…

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A: Given differential equation is dx + 2xydy = 2x2y2dy

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A: We have 2y=xy'3-y'2+1 Now , differentiate both sides with respect to x:…

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Q: Solution of the following differential equation dy ex+y dx e*-2y will be O a 2e-3Y=3e2+c b. 2e…

A: Given differential equation is dydx=e-x+yex-2y ⇒dydx=e-x·eyex·e-2y Using variable separable…

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A: Since, you have asked multiple questions as per company guidelines, we will solve the first question…

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A: We need to choose correct option.

Q: Determine whether the following equation is a solution to the corresponding differential equation.…

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Q: Which of the following is the general solution to the differential equation dx – 2xydy =…

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Q: Make the Nonexact differential equation xy dx + (3y2 + 2x2 – 20) dy = 0 to an exact differential…

A: The solution is given as

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

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Q: Rewrite the following differential equation using differential operators. 3. х? у" + 3х у' + 5у 5 x2…

A: This question is based on Differential equation.

Q: 1. у" - 2у" —у'+ 2у%3D0

A: Dut to guidelines we can solve one question at a time .if you want others solution too.you can just…

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

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Q: differential equation y = C, sin(5x + C2) as its general solution. a) Oy" – 25y = 0 b) Oy" + 25y = 0…

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Q: Find the general solution of the differential equation dy a- 2y = a'e2. %3D dz y = x² (,xe²# – ¿e#C)…

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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.