please solve the initial-value problem only thanks 2. Now find the explicit solution for the initial-value...
Differential Equation
Please answer both of the questions below Thanks!
Solve the given initial value problem. y'' + 36y = 0; y(0) = 3, y'(O) = 5 x(t) = Find a general solution to the differential equation using the method of variation of parameters. y'' + 2y' +y=2e -t The general solution is y(t) = .
2. Solve the following initial value problem: 3? - 2 + 3 4 + 2y and y(0) = 2. Your solution must be an explicit function (expressing y in term of r only) 3. Solve the Bernoulli equation: ry' + y = xy? Your solution must be an explicit solution, that is, you must write y as a function of
Find an explicit solution of the given initial-value problem. ✓ 3 ✓ 1 - y2 dx - V1 - x? dy = 0, y(O) = 2
In problems 7 and 8 find the solution of the given initial value problem in explicit form: 7. sin 2.x dx + cos 3y dy = 0, y /2) = 1/3. 8. y' (1-22)/2 dy = arcsin x dx, y(0) = 1.
solve in matlab please
Draw the phase line for ay-ay(y2-1)(2+y), α > 0 and then using Matlab Problem 1 : graph the solution for different initial conditions. Once you complete that, double the value of α and see what happens.
Draw the phase line for ay-ay(y2-1)(2+y), α > 0 and then using Matlab Problem 1 : graph the solution for different initial conditions. Once you complete that, double the value of α and see what happens.
Please help both questions, thanks
(1 point) Let g(t) = e2 a Solve the initial value problem 4 – 2 = g(t), using the technique of integrating factors. (Do not use Laplace transforms.) y(0) = 0, (t) = b. Use Laplace transforms to determine the transfer function (t) given the initial value problem 6' - 24 = 8(t), (0) = 0. $(t) = c. Evaluate the convolution integral (6 + 9)(t) = Sølt – w)g(w) dw, and compare the resulting...
Find the explicit particular solution of the differential equation for the initial value provided. y = 5x^y-y, y(1)= -9 The explicit particular solution of the differential equation is y=[.
1) Graph the solution curve from [0,5] with step .1
2) Find the explicit solution of the IVP
3) Find the interval of definition
Consider the initial-value problem y" + x(y')2 = 0, y(1) = 4, y'(1) = 2
(1 point) Solve the Bernoulli initial value problem - 2 'y', y(1)=2 For this example we haven We obtain the equation + given by Solving the resulting first order linear equation for u we obtain the general solution with arbitrary constant Then transforming back into the variables 2 and y and using the initial condition to find C Finally we obtain the explicit solution of the initial value problem as
Please solve both questions please.
Solve the given initial value problem. y'"' + 11y'' + 38y' + 40y = 0 y(0)= 0, y'(0) = 10, y''(O) = - 72 y(x) = Find a general solution for the given differential equation with x as the independent variable. y(4) + 6y'' +9y = 0 A general solution with x as the independent variable is y(x) =