The value C for the solution of the initial value problem f'(x) = x° - 7x + 3, given that f(0) = 0. C =

Q: Match the D.E. with a direction field: y' = t+y – 1, , y' = sin(t)sin(y), , y' = 2 – y, , y' = t(2 –…

A: NOTE: Horizontal axis is t-axis  .

Q: Find the general solution to y''-1=0

A: y''-1 =0y'' = 1y' = ∫1 dxy' = x + By =∫(x + B) dxy = x22 + Bx + A

Q: a)Solve the ecuation y''+3y'=12x-5 symbolic b)Solve the initial value problem y''+3y'=12x-5 where…

A: The given function differential equation is  y" +3y' =12x - 5 y(0) = 1,     y'(0) = 0

Q: B1(b): Solve the initial value problem : f'(x) = x° + 12x + 13 and f(0) = 3.

A:

Q: + ¹² = 4t, where y'(1) = 1 and y(1)=2. 4) Solve y" +

A:

Q: Find the general solution y''-y'-2y=0

A: Given the differential equation y''-y'-2y=0. We need to find the general solution of the above…

Q: Use boundary conditions (2) in u (x, 1) = X (t) T (1) are, u (0, t) = X (0) T (t)=0 And u (L, t) = X…

A:

Q: B1(b): Solve the initial value problem : f'(x) = x10 + 12x + 12 and f(0) = 7.

A:

Q: Can you elaborate how to incorporate c into the solution. Like c=0? And how does f'(0)=7 and…

A: Solution below

Q: Is function  y=x2 a solution for equation of (1-x3)y'-2x+x2y+y2=0? If it is, find the solution.

A:

Q: Solve the initial value problem, and graph the solution function x(t). x' + 10x' +26x =…

A: Given equation contains Dirac delta function we solve by Laplace Transformation.

Q: Solve the initial value problem x2(dy/dx)=(3x2-x-5)/(x+1)(y+1), y(1)=2

A:

Q: a?u a?u = 4 at? -00 < x < 0 əx² u(x,0) = senx ,–-0 < x < 0 ди (x, 0) = 1, - 0 < x < 0 at

A: Use D'Alembert formula.

Q: ii) Solve (x D²– 3xD+4) y = x² given that y(1) =1 and %3D - y'(1)= 0.

A:

Q: Use the method of undetermined coefficients to determine the form of a particular solution to the…

A:

Q: Solve  y'' − 2y' + 5y = x2 + 1

A: Solution

Q: Find the stationary points and stationary values of the function f (x)=2x'+x² - 20x +5.

A:

Q: What is the general solution to y''+y=0. Show the solution.

A:

Q: Find General Solution of y" + y" = 0.

A: Given the differential equation is y"' + y" = 0. Here the auxiliary equation is m3 + m2  = 0