(6) Solve the Initial Value Problem (IVP) 1 + x y + ac 9(1) = 1
use laplace transforms to solve ivp x" + 2x' - 15x = 6delta(t -9), x(0) = -5, x'(0) = 7
2. Solve the IvP x()21 x(0) = | 1 t) = la x(t),
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
solve the IVP using the Laplace approach
* +0.2 x = cos(4 t), x(0) = 1
(1) Solve the initial Value Problem (IVP): 2x+1 f'(x) = — ; f(0) = 1. x²+1 DE): frm=2* 31 (a) First, solve the differential equation (DE): f'(x) = 2x+1 — x2 + 1 1 2x+1 Hint: - x2+1 2 x 1 - + - x?+ 1 x2 + 1 2 x Guess a function whose derivative is x2 + 1x2+1 Gues humaian whose centraline a creative 1.a, tratan antarane element ;) 1 2 x 1 i.e., find an antiderivative of...
(1 point) Solve the IVP dx-[-8 21x, x(0) dt x(t) Note: You can earn partial credit on this problem
(1 point) Solve the IVP dx-[-8 21x, x(0) dt x(t) Note: You can earn partial credit on this problem
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
Solve Ivp 2 1
Solve the IVP (for the Bernoulli equation): dy/dx − (1/x)y = 1/y , y(1) = −3