dy 2. Find the particular solution to the differential equation = 8x3 + sin x if the solution dx curve will pass through the point (0,5).

Q: Find the solution to the differential equation =(2x + y cos xy) dx + x cosxydy = 0

A:

Q: Find the particular solution of the differential equation (y + 1)dx – x dy = 0 if x=1 when y=0.

A:

Q: find the general solution for this differential equationdy/dx = e^(-y)+1

A: Find the general solution for this differential equation

Q: Find the equation which satisfies the separable differential equation dy – 15x dx with the initial…

A: Given dydx=-15xy    y(1)=-5To find solution:

Q: dy + 2xy = e dx differential equation with y (0) = 1 is

A:

Q: dy 2. The differential equation da together with the initial condition y(0) = 4 - will give a…

A: According to company rule we can answer only first question and rest can be reposted.

Q: Find the general solution of the differential equation y(4) – 16y = sin 2x + cos 2x. %3|

A:

Q: c. y" +4y=tan2x %3D

A: Solution of the given differntial equation is

Q: 4. 2ydx + (x ay³) dy = 0

A:

Q: 4. Choose a solution to the differential equation y" + 3y' + 2y = sin eª.

A: Here we solve the differential equation using variation of parameter.

Q: d²y ) Solve the differential equation +y = dx² y'(0) = 0. sin(x) + cos(x) with y(0) = 1 and

A:

Q: Find the general solution for differential equation.

A: Given differential equation is xdydx+2xy-x2=0. To find the general solution of the given…

Q: dy (5) Solve the differential equation by variable separable y = csc y dr

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: Solve the differential equation below: (3x²+y²)dy + (x²+3y³)dx=0

A: Given:     (3x2+y2)dy + (x2+3y2)dx = 0

Q: Find the General Solution of this Differential Equation 2. dy/dx - y/x = y°

A:

Q: Solve the given differential equation by separation of variables. dy 5x +3y dx 1 5x

A: The given differential equation is                                                     dydx=e5x+3y…

Q: Determine the particular solution of the differential equation dy y -= 3xe7* ; y(1) = 0 dx

A:

Q: Solve the differential equation y" +4y = Sin x 0sxs m/2 x> n/2 , with y (0) 1, y'(0) = 2. 0

A: To find the solution of the given equation with the given initial conditions

Q: Solve the given differential equation by separation of variables.dy − (y − 8)2 dx = 0

A: The differential equation is given as:dy − (y − 8)2 dx = 0For finding the variable first we must put…

Q: The differential equation dy/dx = y(y+6) has initial condition of y(0) = 3 What is y(1)? Multiple…

A: Given

Q: SOLVE FOR THE PARTICULAR SOLUTION of the differential equation: dy a yax (1+) where a and b are…

A:

Q: 4. Find the general solution of the differential equation given by y' – xyʻ +x = 0, where yf = dy/dx…

A:

Q: 2) dy = y² (1+ex) dx

A:

Q: dy -2 sin x where y (5 = JT dx

A:

Q: dy Solve for the differential equation dx 2y = x cOS X. x2 -

A:

Q: Find the general solution of the differential equation (1 + 9x2) cosy dy − 3(1 + sin y) dx = 0.

A:

Q: dy Solve the differential equation Inx 1-y' by variable separable method dx

A: We have to find solution

Q: Solve the differential equation. dy = 5x dx Vy for y + 0

A: The solution are next step..

Q: Find the general solution to the differential equation dy = tan y. dx

A:

Q: Find the particular solution of the differential equation. x dy/dx  + 5y = x2; y = 12 when x = 2

A:

Q: Find the general solution of the differential equation 2e dy dr sin(x/2)cos'("/2)

A: For detailed solution of the problem see the next steps.

Q: Find the general solution to the differential equation y' +2ry = xe- sin r

A: Linear differential equation

Q: Find the particular solution to the differential equation. x2e2y dy = (x3+3) dx   when x=3 and y=0

A: To find: The particular solution of the given differential equation. Given information:

Q: Find the general solution for the differential equation dy/dx=y2(1+ex)

A: the given differential equation is: we have to find the general solution for the given differential…

Q: Solve the separable differential equation. dy (1+y²) coshx dx 9+sinh x

A:

Q: State the order of the given ordinary differential equation. dzy dx2 dy V 1 + dx

A:

Q: What is the particular solution to the differential equation dy/dx=(x-3)y with the initial condition…

A: A differential equation is an equation in x,y and derivatives of y. A linear first order…

Q: b) Determine the general solution of the differential equation dy y 6xe7x. dx

A:

Q: Find the general solution of the differential equation dy/dx = 5 − 8x

A: To Determine:  Find the general solution of the differential equation dydx=5-8x Given: we have…

Q: Solve the non-homogenous differential equation below dy 2y + x – 3 dx y+ 2х —3

A: Given that a non homogeneous differential equations and we solve by using general property of…

Q: Find the general solution of the differential equation y" +y = 7 sin(2t)+ 5t cos(2t).

A: Given: y''+y=7sin2t+5tcos2t The auxiliary equation of the corresponding homogenous differential…

Q: dy 4) Solve the differential equation - = sinx, y(x) = 2 dx

A:

Q: dy +y = y² sin x dx

A:

Q: y" + 4y = sin 3x

A:

Q: Show that (y^2-1)^2=Ax is the general solution of the differential equation 4xy dy/dx =-1+y^2.

A:

Q: Determine the general solution of the differential equation dy = 2 – x + x³. dr

A: Given that   we have to find the general solution of given differential equation.

Q: What is the particular solution of the differential equation (x+y) dx + (x - y) dy = 0 when x = 0…

A:

Q: dy 5. Solve the differential equation = 7xy3 if y = 0.5 when x = 2. dx

A: Given query is to find the solution of the differential equation.

Q: y lnxlny dx + dy = 0

A: Topic = Differential equation

Q: Find the solution of the differential equation (x+y − 4)dx − (3x − y − 4)dy = 0; when x = 4, y = 1

A: The given differential equation is: x+y-4dx-3x-y-4dy=0⇒x+y-4dx+-3x+y+4dy=0