Direction: Solve for G.S. / P.S. for the following differential equations using the method of determination of integrating factors.

Q: The integrating factor of the differential

A:

Q: Write a differential equation admitting y(x) = (e^x) + 1 as a solution. Please explain or show…

A: Detailed solution is given below.

Q: (3y²-x²» = 0 ;when x = 1, y = 1 2y4

A:

Q: (D³ – Dª + 4D³ – 4D²) y = 32 cos (2æ) – 20e-

A:

Q: (2x + y- 1)dy + (4x + 2y – 3) dx = 0; when x = 1, y = 2 %3D

A:

Q: 人 こ 5

A:

Q: yy' = Vr² + y² +1

A:

Q: Show that the differential equation (x + y)dx - 2xdy = 0 is homogeneous and then use the…

A:

Q: dy ху + dx 1-х? ху!/2; у(0) — 1

A:

Q: write legibly and please provide a step-by-step process on how to obtain a solution for the…

A: Given differential equation, 1-t2dy+ty-y+3dt=0 Used formulas, ∫1xdx=lnx

Q: 2) Solve for y" (2): " - y = 0, y(0) = 12, y'(0) = 0

A:

Q: Direction: Solve for G.S. / P.S. for the following differential equations using the method of…

A:

Q: If roots of linear second order differential equation is real double solution will contain (a) two…

A:

Q: 3) Solve for y'" (1): " - 4y' + 3y = 6t - 8, y(0) = 0, y'(0) = 0

A:

Q: attached

A:

Q: determine what type of differential equation of order one (Variable Separable, Homogenous, Exact or…

A:

Q: Show that the differential equation (x + y)dx - 2xdy = 0 is homogeneous and then use the…

A:

Q: (sin t)y' - (cost)y = 4t(sin² t), 0<t</

A:

Q: Find the differential equations of the families of curves (Kindly insert the illustration if it can…

A:

Q: 3. t²dy = (8ln²t – ty)dt

A:

Q: Choose the appropriate method to be used to solve the given DE. Given the differential equation: y'…

A: The standard form of the first-order linear differential equation is: y'+p(x)y=q(x) The solution to…

Q: y" + y = sec x tan x

A:

Q: x(x + 2y -2)dy = 2(x + y)dx

A: Let us consider the equation M(x,y)dx+N(x,y)dy=0 The equation is exact if ∂M∂y=∂N∂x, otherwise the…

Q: y" + y' + 7Y e (sin 3x - cos 3x) (undetermined coefficients)

A: Given

Q: У"- ху'+ у 3D0

A:

Q: What is the importance of the auxiliary equation in the determination of the solutions of…

A:

Q: use any appropriate method in finding the indicated solution of this differential equation... ydx +…

A: use any appropriate method in finding the indicated solution of this differential equation... ydx +…

Q: 2x(x - y – y) dy = (y²– 2x)dx

A:

Q: y' +y lnx = 0

A:

Q: x(2y°– xy + 1)dy = (x– y)dx

A:

Q: Show that the following is homogeneous and solve: y' = (2x-y)/(x-2y) а.

A: To find the solution of the Differential equation

Q: 2. y' + 4y = 128x

A:

Q: Please help me, i need it right away.   Solve the Differential Equation by Separation of…

A:

Q: dQ dt + Q = f'Int

A:

Q: Find the general solution(make exact differential equation)

A:

Q: di 5." + 24i = 100; t = 0, i = 2 dt

A: Given:didt+24i=100dydx+Pxy=QxPx=24,Qx=100I=∫ePx dx Y=1Ix∫Ix Qx dx+C

Q: 4. y" +y = 2xsinx

A:

Q: You don't need to solve the equation just Choose any method that could be used to solve the…

A:

Q: Solve the Differential Equation by Separation of Variables; and when the Initial-Value Condition is…

A:

Q: Solve the differential equation dy x dx 2y-cotx tan

A: The given ODE is the first order separable ODE has the form of N(y) y’= M(x), The given ODE can be…

Q: 3. When the linear differential equation is multiplied by become an an integrating factor the…

A: We have to fill on the blanks.

Q: (xy - 1)ydx + (xy + xy² + 1)xdy = 0

A:

Q: Assume an object's weight, W, is proportional to its height, H. Does it make sense to use…

A:

Q: 25. y" +2 y'+ y= 0; solutions {e, tet}

A:

Q: Find the solution of the differential equation that satisfies the initial condition. Use the…

A: To solve the given differential equation and the initial condition,

Q: 3 21 X y Y'

A:

Q: Solve the differential equation, please use full steps to finding the complementary/characteristic…

A:

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.