Question
In: Math
Solve the differential equation - df/dt = 12t + (9t / square root of (4 -...
Solve the differential equation -
df/dt = 12t + (9t / square root of (4 - t^2)) + C
Solutions
milcah answered 2 years agoRelated Solutions
t2 (d2r/dt2) - 9t (dr/dt) + 16r = 4 is an example of a "Cauchy-Euler equation."...
t2 (d2r/dt2) - 9t (dr/dt) + 16r
= 4 is an example of a "Cauchy-Euler equation." Such equations
appear in a number of physics and engineering applications.
a) Write the complementary homogeneous equation.
b) Plug r = ekt into the equation you wrote in part
a. Show that this solution will not work for any constant k: this
equation has no exponential solution.
c) Plug the guess r = tn (where n is a constant) into
the equation you wrote...
solve differential equation. y" + 9y = 18t^2 + 9t + 1 ; y(0) = 5/3...
solve differential equation.
y" + 9y = 18t^2 + 9t + 1 ; y(0) = 5/3 ; y'(0) = 10
Solve the differential equation both by undetermined coefficients and the Laplace transform: d2y/dt2– 3 dy/dt +...
Solve the differential equation both by undetermined
coefficients and the Laplace transform:
d2y/dt2– 3 dy/dt + 2y = 6 exp(3t), y(0) = 6,
y’(0) = 14.
Solve using the same approach as the solution using Matlab for this differential equation d^2y/dt^2 +...
Solve using the same approach as the solution using Matlab for this differential equation
d^2y/dt^2 + 6dy/dt + 9y = cos(t)
has initial conditions y(0)=1 y'(0)=2, Find Y(s) and without finding y(t),
determine what function of time will appear in the solution
%}
clear, clc
syms Y s t real
rhs = laplace(cos(t),t,s)
eqn1 = s^2*Y - s*2 - 1 + 6*s*Y -1 + 9*Y ==rhs
myanss = solve(eqn1,Y)
mypart = partfrac(myanss,'FactorMode','real')
%{
mypart =
(0.08*s + 0.06)/(s^2 + 1.0)...
find the solution to the differential equation. d^2y/dt^2 - 7dy/dt=0, y(0)=4, y'(0)=7
find the solution to the differential equation. d^2y/dt^2 -
7dy/dt=0, y(0)=4, y'(0)=7
1) Use MATLAB to solve this differential equation. ??/?? = .25? (1 − ?/4 ) -...
1) Use MATLAB to solve this differential equation. ??/?? = .25?
(1 − ?/4 ) - a
2) Use MATLAB to graph solution curves to this system with
several different initial values. Be sure to show at least one
solution curve for each of the scenarios found in ??/?? = .25? (1 −
?/4 ) - a ( let a = 0.16)
Use the Laplace transform to solve the given system of differential equations. dx/dt + 2x +dy/dt=...
Use the Laplace transform to solve the given system of
differential equations.
dx/dt + 2x +dy/dt= 1
dx/dt− x+ dy/dt− y= e^t x(0) = 0, y(0) = 0
Differential Equations Solve for the IVP ty3 dt - ( t4 + y4 ) dy =...
Differential Equations
Solve for the IVP
ty3 dt - ( t4 + y4 ) dy = 0
y (1) = 2
convert differential equation to a matrix differential equation? can put an example and solve it.
convert
differential equation to a matrix differential equation? can put an
example and solve it.
Consider the differential equation x′=[2 4 -2 −2], with x(0)=[1 1] Solve the differential equation where...
Consider the differential equation x′=[2 4
-2 −2],
with x(0)=[1 1]
Solve the differential equation where x=[x(t)y(t)].
x(t)=
y(t)=
please be as clear as possible especially when solving for c1
and c2 that's the part i need help the most
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