Please show all steps to solution. 7. Use a suitable Fourier Transform to find the solution of the IVP 2t-r-1 ,2-1 t 〉 0, , u(x, t), uz (x, t) 0asx→00, t〉0, → 7. Use a suitable Fourier Transform to find the solution of the IVP 2t-r-1 ,2-1 t 〉 0, , u(x, t), uz (x, t) 0asx→00, t〉0, →
thanks for help i really need this question answer Find the solution of the IVP x' = 1 + t + x2 + tx2, x(0) = 0.
Consider the solution to the IVP y' - xy = x; y(0) = 2 Find y' (0) Consider the solution to the IVP y' - xy = t; y(0) = 2 Find y" (0)
a) Solve the IVP: (x + y)2dx + (2xy + x2 - 1)dy = 0 ; y(1) = 1 b) Find a continuous solution satisfying the given De subject to initial condition. dy + 2x y = f(x), f(x) = fx, 05x<1 y(0) = 2 dx 10, 821 c) Solve the Bernoulli's equation xy' + y = x²y2
1. Find the solution to the IVP : yy - x = 1, y (0) = 2 2. Find the general solution to the exact DE: e* dx – ydy = 0 3. Use ji = cos y to find an EXPLICIT solution to: (tan y)dx + xdy = 0
a.) Solve the following IVP. X !=3x,-13x2 X, (O)=3 X2 = 5x +X2 X₂(0)=-10 b.) solve the following IVP. X;= -X, +(3/2) X2 X, (2)=1 X 2 = (-%6) xx-2x2 X2 (2)=0
Find the P.S. of the IVP: x2 + 2xy + y2 1+ (x + y)2 y(x = 0) = 4 Primes denote derivatives WRT X. (y'a
(1 point) Find the indicated coefficients of the power series solution about x-0 of the differential equation (x2-x+1y"-y-3y = 0, y(0) = 0, y(o) =-8 x2+ 4 (1 point) Find the indicated coefficients of the power series solution about x-0 of the differential equation (x2-x+1y"-y-3y = 0, y(0) = 0, y(o) =-8 x2+ 4
Question 8 3 pts The power series solution of the Initial-Value Problem (IVP) (x2 + 1)yll + xyl + 2xy = 0 y(0) = 2 is given by y (0) = 3 23 3x5 = 2 1 + + ...)+(2-* + + ...) + 3 20 None of them 7x3 21.25 y= 2 + 3x + +... 6 2 4 --- 3(-one -+...) +2(1-**+..) 7274 y= 2 + x + +...
Solve the initial value problem (IVP) Ut + 3ux + 3u 0, u(x,0) = x2, (x, t) ER [0, +00).