2(2x? + у?)dx — ху dy %3D 0

Q: x² y' - 2lnx - e2y+4(Inx)/x = 0

A: Given: The given differential equation is x2y'-2lnx-e2y+4lnxx=0

Q: tate The Order Of The Differential Equation And Determine Whether It Is Linear.

A: Given that the differential equation i.e.       (i).   dydx=x2-y2.

Q: "-y = x e* Cos?x

A:

Q: dr + t 4tx 0 dt dt3

A:

Q: dy - 2y + 6 Find the solution of the differential equation. - dx 2.x + y + 2 ||

A:

Q: Find a differential equation whose general solution is y = c₁e²t + C₂e-2.

A: Note: Your general solution should be: .The differential equation for this general solution needs to…

Q: d²y dy e* - 2 + 2y = dx² dx cos(x)

A:

Q: y' + (1+ 2x2) .e²²+y = 0

A:

Q: I (1-x) y"- 4xy't 5x = cos x 2 d + tx=0 3. to ylm) _ t° y" +6y = 0 4. x + Y =0 dx 5. x y' - 4 seny =…

A: Linear equation means independent variable is in linear. That is independent variable is free from…

Q: 6T y" – 12y' + (36 + sin - -60e7x

A: The given function is,y''-12y'+36+sin6π2y=-60e7x

Q: e"(dr+3rde)=0

A: To solve the given differential equations.  e3θ(dr + 3rdθ) = 0.

Q: (d) (x2 + y²) dx – 2xydy = 0 (e) y' + 2xy = 10x (f) (y – 1) sin xdx – dy = 0 -

A:

Q: y(4) – 16y" = e¯* + sin3x y

A: find complementary function and particular integral and add them

Q: y(4) + 2y" + 10y" + 18y' + 9y = 0 [Hint: y(x) = sin3x is a solution.]

A: The given differential equation is                                  y(4)+2y'''+10y''+18y'+9y=0 Which…

Q: y(3) + y" – 2y = xe¬*

A:

Q: Find the general solution of the differential equation.

A: According to the given information it is required to solve the given differential equation:…

Q: (D² + 1) y = x cos x

A:

Q: * + 10x + 21x = 0 x(0) = 4 x(0) = -3

A: