The solution of the following differential equation yfv – 9y" + 20y = 0 , is y(x) = ce2x + cze-2x +czev3x + c4e-V3x %3D y(x) = c,e*/2 +cze* %3D The answer is O the Answer is y(x) = c,evZx %3D +cze-vZx None of All +c3e5x + c,e V3x the answer is O The Answer IsO

Q: The solution of the differential equation y' : y+√√x² + y² = c y + 2√y² = x² = cx y+√√y²-x²=c y+…

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Q: a) dy dx xe ex²+ y(0)=1

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Q: What is the particular solution to the differential equation (1-xy)? + (y² + (1-xy)- )dy = 0 and y =…

A: Givendx1-xy2 + y2 + x21-xy2dy = 0withy(4) = 1

Q: Solve the first order differential equations 1 (x³ + y4)dx + 8y³xdy = 0 when x = 4, y %3D | 2

A: differential equation

Q: The differential equation y' = √2x−y +1 +2 has the solution 3

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Q: x²y" - 3y² + 2y = 0

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Q: What best describes the following matrix? [13-5 -5 0 00 1 -2 00 0 1 000 (a) A is not in row echelon…

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Q: Solve the differential equation e-y da (11) = ze" O e +z = C Oe lets) +7 = C O e +z = ( C O e-t-) +=

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Q: Solve using an appropriate method on First Order Differential Equation. Show complete and detailed…

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Q: g) (3x - 2y + 2) dx + (3y-2X-2) dyzo Find the general solution to differential equations

A: Given 3x-2y+2dx+3y-2x-2dy=0

Q: Determine the form of a particular solution for the differential equation. Do not solve. y" -y=tet +…

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Q: Solve differential equation 3x ý – 3ý = e3* – 12x+39 -

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Q: VA: Find General Solutions for the following Differential Equations (Use Differential Operators).…

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Q: (1) (#)* + #+ 2 += =² + y? = 0 (ii) ey" +ry = 2y (iv) In(y") + 2y - y = 0 %3D

A: As per given by the question, There are given four type of the equation and which of these are…

Q: dy _ x* The implicit solution of the differential equation dx by using variable y %3D separable…

A: Wrong question. Either question or answer is not possible.

Q: dx + 6x = 3yæ y- dy 1 1 x = (x – a²C)³ (y – y²C)³ Option 1 Option 2 1 1 y = (x + x²C)³ x = (y +…

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Q: Find the differential equation such that y(x) = c₁(x-4) 8 +c₂ln(x-4) (x-4) 8

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Q: Given the step function cost, 0<t <T f(t) = 5, (i) Express f(t) in form of unit step function. (ii)…

A: i)Expression of f(t) in terms of unit step function f(t)=cost(u(t-0)-u(t-π))+5(u(t-π))

Q: Solve both the differential equations. 1) (y² + 1)dx + (2xy+ 1)dy = 0

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Q: equilibrium

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Q: Evaluate the following limit. 2 ln ( ₁ + 2/1) ² x X lim X→∞ lim X→∞ 1+ 2 X 2 ln x = (Type an exact…

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Q: What is the general solution of the differential equation xy"+y'=16x ? y = 4x+C₁₂(lnx) B…

A: The given differential equation .We have to find the general solution to the differential equation.

Q: Find the solution of the differential equation system

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Q: y"-2y'+5y=10x²-3x-3

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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.