Find solution of differential equation. у"+ftanx)y-e^x, У(О)-1, у (1)-0

Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

A:

Q: What is a particular solution of a differential equation?

A: Particular solution: particular solution of a differential equation is obtained by known value for x…

Q: How  can we apply second-order differential equations to the study of vibrating springs and electric…

A: Generally the equations of the analogous systems are second order differential equation with…

Q: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

A: We have to eliminate arbitrary constant a and b by differenciation

Q: 3. y'-5y = x*e* - xe* – xe³x

A: 3. the given differential equation is y'-5y=x2ex-xe5x

Q: y' = y²-y ху?-у

A: The given differential equation is  y'=xy2-yx     It can be re-written as…

Q: Find general solutions of the differential equation    (x+y)/y'=x-y

A:

Q: Obtain the Differential Equation from the family of lines whose slope is thrice the y- intercept.

A:

Q: Give an example of a linear, nonseparable differential equation.

A:

Q: Show complete solution Differential Equation: ydx-xdy=y^2dy

A:

Q: Find the product solutions for the differential equation a²uxx = -u¿ using separation of variable…

A:

Q: Find the general solution of the differential equation or state that the differential equation is…

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: Eliminate the arbitrary constants: y= x+ Ce2x + C2e¬x 1.

A:

Q: Form the differential equation by eliminating arbitary constant :y=ax3+bx2

A:

Q: The solution of the differential equation using variable separable  dydx+7secy=

A: To find the solution of differential equation dy/dx+7secy=0

Q: Find a linear differential equation with constant coefficients satisfied by e2x, e-x, e3x and e6x

A:

Q: Determine the form of a particular solution for the differential equation. Do not solve.

A:

Q: Explain the steps to determine the a single particular solution of anonhomogene linear differential…

A: Consider a second order non-homogeneous linear differential equation with constant coefficients,…

Q: Solve the differential equation with appropriate method. Finalize answer equated to y. y' = 2xy - x

A:

Q: When the linear differential equation is multiplied by an integrating factor the equation will…

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

Q: Find the ordinary differential equation from the general solution: y = Ae-* + Be-*

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: Reduce the differential equation: x2(y-px)=yp2 to chairaut form and find its genenral solution

A:

Q: What is the appropriate method to find the general solution of this differential equation?

A:

Q: What is the difference between a particular solution and a gen- eral solution to a differential…

A: Our Aim is to tell the difference between a particular solution and generalsolution to a…

Q: y' = (x+y– 2)² (х-у)?

A:

Q: Determine the general solution of the differential equation

A:

Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

A:

Q: Form a differential equation by eliminating arbitrary constants "A" and "B" from the family of…

A:

Q: -3-x+x. y (0) -2. y(0)

A:

Q: Solve the general solution of the second order linear differential equation with constant…

A: rewriting the equation we get  y'-1t2-1y2=-1t2-1

Q: What is SM of the differential equation (2a + 3) y' = (y + 2x +3) O}y + 2x +3) O1 + (2a + 3)-

A:

Q: Solve the first order differential equation by separating variables.

A:

Q: Determine if the function is a solution of the differential equation y''-y=0

A: y''-y=0 y'' represents the second derivative  we find the roots , by writing the given equation in…

Q: If m1, m2 are the real and equal roots of the auxilary equation of second order linear differential…

A: Let us consider the second order differential equation y''+py'+qy=0 To solve the differential…

Q: y² = 14eax-

A: Given y2=14eax

Q: Form the differential equation by eliminating arbitary constant from y = cx+c-c3,(c)

A:

Q: Find the solution on the differential equation using suggested substitution.

A: The given differential equation is:yxtanx+lnydx+tanxdy=0We need to solve the above equation.

Q: (D² − 4)y = 8e²x – 12 -

A:

Q: Find the differential equation whose complete solution is y=c1e-x+c2ex+4x using elimination of…

A:

Q: Find the differential equation using elimination of arbitrary constants

A:

Q: 2. Find the differential equation having the solution as the equation representing all lines with…

A:

Q: Find the solution of this higher order differential equation

A: Given that: (D4-3D3+4D)x=6+80cos2y

Q: Describe the separation-of-variables technique for obtainingthe solution to a differential equation.

A: To describe the separation of variable technique.

Q: 3. y"+ y= 2rsina

A: According to the bartleby policy , I can only answer one question.  So I answered  first question.

Q: Use separation of variables to find the general solution of the differential equation. (5 + x)y' =…

A:

Q: y' = ycotx + y²cscx

A:

Q: A car traveling at 100 km/h skids 50 m after its brakes are suddenly applied. Set up a differential…

A: The rate of change of velocity with time is known as acceleration, given by the expression a=dvdt.…

Q: When is an equation considered as a solution of  differential equation?

A: