Q5: Solve the following differential equation using variation of parameters method: ADS. d²y dx² + y = se sec x

Q: Q.3 Solve v = e»+vã dx

A: Use the variable separable method and Integrate to get the solution of given differential equation.

Q: 5)(cos.x + 3x*y}dx+(x* - y³ kdy ifadesinin tam diferansiyel olup olmadığını gösteriniz. Tam…

A: The given differential equation is:cosx+3x2ydx+x3-y2dy=0         ..........(1)which is of the form…

Q: Solve: y (cosx)= (9+ y²)

A:

Q: (b) Find the differential for y = -5 %3D

A: Giveny=4x-53   ...(1)

Q: dx + 2– + x = u(1) x(0) = x'(0) = 1 dt

A:

Q: Solve (1+xy)x dy + (1- xy)y dx 0. %3D

A: By using simple differential and integration

Q: Find the differential of the function. p = 9q – 493/2 dp:

A:

Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…

A: Given:- 2x+3y'=y+2x+31/2

Q: Q2: find y' y= 33xelnx?

A: Use the product rule, ddx(f.g)=f.ddx(g)+ddx(f).g Use the derivatives, ddx(ax)=axloga…

Q: Find the general solution of the following equations= (x10/3 – 2y)dx + xdy = 0 1-

A:

Q: At 7 pm on a Wednesday evening. Mr Huxley's water tank was full. The capacity of the tank was 3 000…

A: We will find out the required values.

Q: dy/dx=x-4xy Solve using integrating factor and seperating the variables

A: Topic = Differential equation

Q: B) Solve the following equations: y=l+x+e="x

A: We have to find the general solution of the differential equation d3ydx3+27y=1+x+e-7x .

Q: ds/dt+s/t=cost+sint/t solve using linear equation diff eq

A: