Find particular solution of a yd-y'= 2sinx 11

Q: Draw a slope field for the differential equation / = 0.2x² + y

A: We have to draw the slope field for the following differential equation, y'=0.2x2+y

Q: У"(х) — 2у(х) + у (x) — 4x2 — 3 + et

A: Given :         y''(x) - 2y'(x) + y(x) = 4x2 - 3 + exx   To find:            The general solution of…

Q: Form the partial differential equation by eliminating the arbitary from z=xy+f(x2+y2)

A: Form the partial differential equation by eliminating the arbitary from z=xy+f(x2+y2)

Q: Find the product solutions for the differential equation ux = -3uyy using separat of variable…

A:

Q: What is the differential equation of the orthogonal trajectories of the family of curves x-3xy- 2y²…

A: This is a simple question based on differential equations which could be solved using the basic…

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

A:

Q: Form the differential equation by eliminating A and B from Ax² +By² = 1.

A:

Q: What differential equation has general solution  y=c1e^(5t)+c2te^(5t)?

A:

Q: Find the differential equation associated with y = clx^2+ c2x + c3

A:

Q: Find the general solution of the differential equation (4 + tan2 x)y′ = sec2 x

A:

Q: 3x2y +y2 2x3+ 3ху dy

A:

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

A:

Q: The integrating factor of the differential equation xdy+ ydx= x3y6dy is

A:

Q: Give the differential equation of family of lines passing through (2,0)

A: Let the equation of  line be y= mx + c Now if the line pases through (2,0) then  0= 2m + c --> c=…

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

A:

Q: What is the differential equation of the orthogonal trajectories of the family of curves y = Cx ?

A:

Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

A:

Q: Find the differential equation of the family of parabola with vertex and focus on the x-axis

A: The given question is related with parabola. We have to find the differential equation of the family…

Q: Form the differential equation by elimaniting the arbitary constant A,B from y=Ae7x+Be-7x

A:

Q: 2. Solve x². dy + 2xy = 4x³ using an + 2xy = 4x³ using an Integrating Factor. dx

A:

Q: Find x for which the line tangent to the parabola y = 4x – x2 is horizontal.

A: In this question, we need to find the value of x at which the tangent line is horizontal.

Q: Find the general solution for the differential equation: 3- y" + 9y = sec2(3x) %3D

A:

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

A:

Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

A:

Q: What is the c value obtained for the special solution of the equation under the initial condition y…

A: Here we have to find constant of integration c.

Q: solve for the differential eq   (8x−10xy+4y^2sin^2 (x) )dx=(2ysin2x+5x^2−4xy)dy

A:

Q: Find the differential equation of all family of straight lines at a fixed distance p from the…

A:

Q: 6. Show that 2y2 dy x² + y2 dx is homogenous equations. Hence, solve the equation.

A:

Q: Find the differential of y² + x = 4.

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

Q: Write the general solution of (x² – x)y" + - 2x) y' -y = 0 about x = 0 of Hypergeometric…

A: Compare the given equation with the Hypergeometric equation of the form x1-xy''+c-a+b+1xy'-aby=0,…

Q: Find the differential equation which has y= asinx+bcosx+xcosx

A: Given: y=asinx+bcosx+xcosx                                   ..1 for finding differential equation…

Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

A:

Q: Find the equation of the line tangent to y = x2 – 3x – 5 and parallel to the line y = 3x – 2.…

A: Explanation of the answer is as follows

Q: Find a differential equation of the family of cubics cy² = x² (x – a) with 'a' held fixed.

A: The given expression is,  Assume 'c' as the arbitrary constant and 'a' as a parameter. Take log on…

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: Find the differential equation of a family of parabolas with axis parallel to the x-axis.

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

Q: What differential equation has y = x² cos y - 4x + C as a solution?

A: We have to find

Q: Find the genprat Sotoution of the differential equation 3x+2 2y

A: By using the Separation of Variables Method.

Q: Find the differential equations having as solution of y = x sin(xtc) .

A: We find the differential equations having as solution of y = x sin(xtc) .

Q: Find the differential equation of family of parabolas with axis parallel to the x-axis and with…

A: The general equation of family of parabolas with axis parallel to the x-axis, with a vertex at a…

Q: Use separation of variables to find the general solution of the differential equation. ely' = 3x5 +…

A:

Q: What is the differential equation of family of parabolas with vertex on the x – axis and axis…

A: General equation of parabola parallel to y-axis and having center (h, k) and having distance 'a'…

Q: ydx – xdy Solve the differential equation 2xdx=- x2. + y? by forming integrable combinations.

A:

Q: using partial differential equ

A: Charpit's auxiliary differential eqs are

Q: Obtain the differential equation of the family of parabolas with axis parallel to the x axis and…

A:

Q: Find a special solution of yn+2 - Yn= fo = constant by variation of parameters.

A:

Q: Solve for Higher Differential Equation using Undetermined Coefficients Method y" – 3y' + 5y = 4x³ –…

A: The  given differential equation is y''-3y'+5y=4x3-2x To find the solution of the differential…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.