Solve the general solution y" – 5y' + 6y = xe*

Q: The differential equation (4x2y2 + 6x y )dx + (5x3y + 8x2)dy = 0  has an integrating factor of the…

A:

Q: x'y" – xy' = Inx

A:

Q: Give the general solution of the differential equations.   y" - y' - 6y = sin 2t

A:

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

A:

Q: 8. Use a substitution to solve the homogeneous 1st order differential equation (x – y)dx + x dy = 0

A:

Q: Solve the separable differential equation dy 7x – 6yVx² +1 = 0. - dx Subject to the initial…

A:

Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is

A:

Q: 4. Solve the homogeneous differential dy equation dx + 9xe x .

A:

Q: Find the solution of the differential equation that satisfies the given inital condition.…

A:

Q: solve the differential equation dy/dx=2x^4sqrt of y, y.0

A: Solution of given question is written in below steps.

Q: Find the particular solution to the differential equation. 4y2 dx = 9x2 dy   when x=4 and y=-3

A:

Q: y" – 2y – 3y = 2e² – 10 sin z

A:

Q: Find the Wronskian of two solutions of the differential equation t²y" - t(t-3)y' + (t− 2)y =0…

A:

Q: Find the particular solution to the differential equation. 4y2 dx = 3x2 dy when x = 4, y = -1 %3D

A:

Q: y''' + y'' +4y' + 4y = sin(2t)

A: Y(t) =complementary function+particular integral

Q: Solve the differential equation using variation of parameters wronskian method y''' + 9y'' + 26y' +…

A: Consider the given differential equation as y''' + 9y'' + 26y' + 24y = 24x + 2. The auxiliary…

Q: 3. (D² +1) y=tan(x)

A: solve using Non-homogeneous Hihger Order Differential Equations: By the method of variation of…

Q: Find the solution of the differential equation that satisfies the given initial condition. dy - X,…

A: Givendydx=xywith y(0)=-5

Q: Solve the differential eqyations y" – y'+6y =e -2x

A: Differential equation problem.....

Q: The tangent line to the curve y = x3 at the point (1,1) will intersect the x-axis at x = a.2/3 b.…

A:

Q: Find the general solution of the differential equation, (5e-3 sin (3x)) dx + (5xe-y + 2 cos(3x)) dy…

A:

Q: Verify that y(x)=exsinx is a solution to the differential equation   2ycotx-d2y/dx2=0

A: Consider the given solution to the D.E. Differentiate it w.r.t x twice to get the double derivative…

Q: 5. Verify that y(x) = Vx+C is a solution of the differential dy dx 1 for every constant C. equation…

A: The differential equation is given as dydx=12y2ydy=1dx

Q: 5, a) Solve the differential equation dy x+2y-1 %3D dx 2x-y+3

A:

Q: show complete solution Solve the given differential equation using type 1: x2(y+1)dx+y2(x-1)dy=0

A: It is differential equation.

Q: the differential equation 3(3x^2 + y^2)dx - 2xydy = 0 is homogeneous of what degree?

A: The given homogeneous differential equation is 33x2+y2dx-2xydy=0.

Q: Find the solution to the differential equation dy/dx + y^2sin(x) = 0 which satisfies y(0) = −1.

A:

Q: Find the Wronskian of two solutions of the differential equation t²y" -t(t-5)y' + (t-3)y=0 without…

A:

Q: (b)Verify that the differential equation y = 2 sin 2x is a solution y" + 4y = 0

A:

Q: The given differential equation has infinitely many solutions xy' = y+1 where y(0) = -1. True False

A: Given differential equation is xy' = y+1

Q: Solve the differential equation using 3rd and 4th order RK method. dy/dx = yx3 – 1.5y, y(0) = 1,…

A: Formula for solving differential equation using 3rd order RK method Let y'=f(x,y) then…

Q: y(4x + y) dx - 2(x² - y) dy = 0

A:

Q: Use variation of parameters to find the general solution of the differential x²y" - 5xy' + 5y = 4x…

A:

Q: Solve the differential equation (y+xy+ 1) dx + (x²+xy²+2y) dy=0 by forming integrable combinations.

A:

Q: xy' - y = x, y(1) = 7

A: The given differential equation is xy'-y=x, y1=7. Therefore the given differential equation can be…

Q: 4. (y+ 2x) dy + dx = 0; x = - 1 when y = 0 %3D

A:

Q: Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos(e*) y(x) =

A: Given differential equation: y''+3y'+2y=cosex               ...(1) Write the homogenous equation…

Q: Determine the particular solution given the differential equations and conditions. 2= 3e* , y = 6…

A: dydx=3ex, find the particular solution and the function

Q: dy 2. 2xy da 3. 2ydx + x (x² In y – 1)

A: We are asked to solve differential equations.

Q: Solve the differential equation Integrating Factor by Linear Equation: dy 1 dx x + y2

A:

Q: Solve the differential equation dy/dx=5-x/y with the inital condition y(6)=-4.

A: We have to solve

Q: Find the Wronskian of two solutions of the differential equation t²y" - t(t− 2)y' + (t−6)y = 0…

A:

Q: Find the solution of the differential equation that satisfies the given initial condition. y' tan(x)…

A:

Q: Solve the differential equation using 3rd order RK method dy/dx = yx3 – 1.5y, y(0) = 1 find y when…

A: The solution of given differential equation using third order rk method.

Q: Q3: if y'-f(y/x) where v-y/x Find a solution to the differential equation 2xyy'-y2+x2 =0 ?

A: Given

Q: Obtain the solution of the differential equation (3 sin y − 5x)dx + 2x^2cot y dy = 0

A: Given the DE is 3siny-5xdx+2x2cotydy=0.

Q: Find the Wronskian of two solutions of the differential equation t²y" - t(t-4)y' + (t - 2)y=0…

A:

Q: 3x√y. For y is not

A:

Q: Solve the differential equation: dy 1 1 1)y – x +1 = 0, y1= ax - - dx

A: The given differential equation is dydx-y2x-21x-1y-x+1=0. Substitute y=ax in the above equation and…

Q: Consider the differential equation (10x³y* + e=y + 3 sin(4x + 3y))y' + (6x²y5 + 4 sin(4x + 3y) + 2)…

A: