Solve the differential equation. dy 3 2x – 0, y = 3 when æ = 1 dæ Using x^2 for r?. O y=x^2+x^{-3}+1 O v=2 +15 x^{-5}+1 y=x^2+x^{-3}+C O y=x^2+x^{-3}- 217/27

Q: 3 (3x? — 6ху) dx — (3x? + 2у) dy 3D0 -

A:

Q: solve the differential equation using variation of parameters: 2x2y′′ + 5xy′ + 9y = -x2 - 2x. only…

A: The given problem is to find the solution for the given differential equation by using the variation…

Q: (xy^2+y)dx -xdy =0

A: Given: (xy2+y)dx-x dy=0

Q: Solve the equation y''' - y'' - 2y'= 0

A:

Q: (2x + 3)y' = y + (2x + 3)/2; when x = –1,y = 0

A:

Q: xy' – y – 5x* – 3x² + 2x = 0 when x = 1 and y = 2

A:

Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

A:

Q: Find the solutions to the following equation: x2 - 2x - 4 0

A: Any equation of form ax2+bx+c=0 is a quadratic equation as the highest exponent of a variable is 2.…

Q: y' = 2x + 2y +1 3x +y -2 ty

A: Given differential equation y'=2x+2y+13x+y-2. The objective is to solve the differential equation.

Q: 2y" --2y' +2y=6+2e¹/2

A:

Q: Obtain the roots of the following equation using Secant Meth a. f(x)= x^3 - 2x-5; use 2.5 and 3 as…

A:

Q: 3x2y' = 5x - 6xy, x=2 when y=1

A:

Q: Solve 16y" – 8y" + y' = 0

A: Write the auxiliary equation first and find it's roots.

Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

A:

Q: solve the following DE X^4 y' + 66x^3 y = x ^-2 cosx

A: The given differential equation is  x4y'+66x3y=x-2cosx.   The by parts formula of integration is…

Q: solve y′′′′+ 3y′′−4y = t^2

A: Given differential equation is yIV+3y''−4y=t2. We have to find the solution of the given…

Q: <ソ+メ-3) (メ-344)ゾ ニ t.

A:

Q: Find a particular solution y'''-y''-4y'+8y=6xe^2x

A: y'''-y''-4y'+8y=6xe^2x Particular integral = 6xe2x 6xe2xD3-D2-4D+8By using property shift F(D) to…

Q: Find dy/dx: a. 3x? – (xy²)/2 = 2y³ b. y = (cosx – nx)^**

A:

Q: y' = 2x + 2C₁e2x + 3C₂e³x

A: Formation of Differential Equation: When we seek solution to a differential equation, the general…

Q: To make the differential equation 2ydx + xdy - x^3dx = 0 exact, what must be the integrating…

A:

Q: 13 5x³ y³ • 2 12 x yt

A: Given:2. 5x23y45 . 2x13 y253. 2a12b236

Q: how did this equation Hx = exp P (ny + ). ož = vi[exp (o,) – 1] turned into this equation 1 In Hy =…

A:

Q: Differentiate. y = ³√√x³+3x+1.x4

A: Given function y = x3 + 3x + 13.x4

Q: Form the differential equation of family of lines situated at a constant distance p from the origin.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Solve y'= 3y.x² 3 x³ + 2y4

A: This question can be solved using the concept of linear differential equation.

Q: (x^2-4x-4)(y^2+1)dx+2y(x^3-2x^2+4x-8)dy=0; when x=4,y=1

A:

Q: TV Cos X 4-3 Sin x dx 2. Calculate

A: Solution

Q: y'+Sy +b4= x²eX Sin5x Find the general solution of the equation.

A: