Differential Equation 2 -24e CD +4D +9D tlo) 4. O fx-0 ' -4 10 ol

Q: Show that the given function is a solution of the differential equation. dy dx + 8y = 6e-5x, y = =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: obtain solution of this differential equation (1-xy)-2dx+[y2+x2(1-xy)-2]dy=0 when x=2 and y=1…

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Q: 3) yy +x²(sinx)³ = y³cotx %3D

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Q: Use a Green function to find the general solution of the differential equation y" + y = sec(t) - 2…

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Q: differential

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Q: 1. y'= exp (2x - y). ANS. 2e" = e²2x + c.

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Q: Find the solution of the differential equation (1+x* )y'+2.xy – 4x°y° = 0 (Bernoulli) %3D

A: We will find out the required general solution .

Q: dy -(x+)(uy-) dx

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Q: 9. (3x – y + 6)dx + (6x – 2y – 6)dy = 0 hint: Case 1 %3D

A: Given

Q: 10. (2х + Зу — 5)dx + (3х — у — 2)dy %3D 0 hint: Ca

A: We are asked to solve the differential equation.

Q: Determine a particular solution of the differential equation (x-y)dx+ (3x+y)dy-0. Use the…

A: See the answer below

Q: Evaluate the given differential equation (3+ y + 2y sin?x)dx + (x + 2xy – ysin2x)dy a.F = y? + x? -…

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Q: DIFFERENTIAL EQUATION dy/dx=2yx+yx^2

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Q: y = C1e2 + C2e- y' +y – 2y = 0 y" + y + 2y = 0 O Option 3 O option 1 y" – y +2y = 0 %3D

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Q: (ev+1)² eY dx + (e* + 1)3 e* dy = 0

A: we have given(ey+1)2e-y dx +(ex+1)3e-x dy= 0

Q: x²y" – 3xy' + 4y = x³Inx |

A: The solution is given as

Q: product rule to 3. Use the substitution uy to solve the differential equation xy' + 5y = 3ay

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Q: x(4y-1)dx + ((x^2) + 1)dy = 0   solution of the differential equation

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Q: sin x dy (2y Cosx + sin4 x) ax

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