Solve the following ODE 2x y'- ( 1+x² у 0 with initial condition y(0) = 3 -

Q: y” – 10y’ + 25y = 30x+3

A:

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

A: Given: (xy2+y)dx-x dy=0

Q: y- dy dx 3 (1+x) 2 = x³+x-10 X-2 اذا كانت

A:

Q: Solve 4xx = ut + tx u(x, 0) = 0

A: The provided partial differential equation (PDE) describes a transport phenomenon represented by the…

Q: Calculate y" and y'. y = 0²(20 + 4) y" = y" : II

A: Given function is : y = Ѳ2( 2Ѳ + 4)

Q: Solve homogenous equation y'''' - 2y'' - 3y' - 2y = 0

A: Find the auxiliary equation and solve that

Q: х? + 2х + 9y? — 18у + 11 3D 0 Is the equation of: Select one: О а. Нурerbola O b. Ellipse O c.…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve homogenous equation y'''' - 8y''' + 24y'' - 32y' + 16y = 0

A: y''''-8y'''+2y''-32y'+16y=0  operation form   D4y-8D3y+24D2y-32Dy+16y=0  D4-8D3+24D2-32D+16y=0…

Q: If y = (x+1)/(2x - root x' then y' will be?

A:

Q: Find the particular solution for ysqrt(1-x^2) * y'-xsqrt(1-y^2)=0  when y(0)=1

A:

Q: Find y' 4x-5 y= 2x+3

A:

Q: Find y'' y = y" = 3x + 5 2x - 1 ...

A:

Q: If y= X 1-x +7x+9, find y' .

A:

Q: x' +3xy*)dx +(3x'y +y')dy = 0

A:

Q: complexify the ODE below in irder to find its particular solution y''-2y'-15y=e^(3t) cos(2t).

A: We have to find the particular solution of the given ordinary differential equation.We will use the…

Q: solve the given ODE y'''-4y"-y'+4y=30e^2x

A: Given given y111-4y11-y1+4y=30e2x   ⇒d3ydx3-4d2ydx2-dydx+4y=30e2xLet ddx=D so that…

Q: Find y' if y= - 14 3 X

A:

Q: Use the substitution z = y^2+ t −1 to solve 2yy′= y^2+ t −1

A:

Q: Solve x³y"+6x²y"+4xy' = 0.

A: