7-50 Find the v(t) that satisfies the following differential equa- tion and initial conditions: +36r(1)=0, v(0)...
Problem 7. Find the solution to the following differential equations that satisfies the given initial conditions:
(1 point) a. Consider the differential equation: d2y 0.16y-0 dt2 with initial conditions dt (0)-3 y(0)--1 and Find the solution to this initial value problem b. Assume the same second order differential equation as Part a. However, consider it is subject to the following boundary conditions: y(0)-2 and y(3)-7 Find the solution to this boundary value problem. If there is no solution, then write NO SOLUTION. If there are infinitely many solutions, then use C as your arbitrary constant (e.g....
Solve for v(t), t>0.
a. Find the initial conditions.
b. Write the differential equation.
c. Find the general form of the solution.
d. Find the coefficients of the solution by matching the initial
conditions.
t=0 100V 0.22 } 1F + 0.25H3
Find the solution of the differential equation that satisfies the given initial condition. du 2t + sec?(t), V(0) = -5 dt 2u UE X
The function u(x, t) satisfies the partial differential equation with the boundary conditions u(0,t) = 0 , u(1,t) = 0 and the initial condition u(x,0) = f(x) = 2x if 0<x<} 2(1 – x) if}<x< 1 . The initial velocity is zero. Answer the following questions. (1) Obtain two ODES (Ordinary Differential Equations) by the method of separation of variables and separating variable -k? (2) Find u(x, t) as an infinite series satisfying the boundary condition and the initial condition.
Find the solution of the differential equation that satisfies the given initial condition. dL = klin(t), L(1) = -1 dt -1 k[In(t) - 1+1] + 1 X
find the solition of the differential equation that satisfies the
given initial condition
6. [0/1 Points] DETAILS PREVIOUS ANSWERS SESSCALC2 7.7.012. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the solution of the differential equation that satisfies the given initial condition. dP = 5 Pt. P(1) = 6 dt 2 51 P= +/6 5 3 3 Need Help? Talk to a Tutor
Find the solution of the differential equation that satisfies the given initial condition. dL = KL2 In(t), L(1) = -1 dt
Find the solution of the differential equation that satisfies the given initial condition. dL = KL2 In(t), L(1) = -1 dt X
Find the solution of the differential equation that satisfies the given initial condition. du dt 2u 2t + sec?(t), u(0) = -5 U = V2 + tan(t) + 25 X