I really need help on answering this. Thank you so much! Use the substitution z=w/t to find an explicit solution to the IVP: dw/dt = (6w^4 + t^4) / (4w^3 t) , w(1)=2
I really need help on answering this. Thank you so much! Use the substitution z=w/t to find an explicit solution to the IVP: dw/dt = (6w^4 + t^4) / (4w^3 t) , w(1)=2
y' + 1/3 y tan(x) = cos^2(x) / y^2. a) Make a substitution (z = ...) to transform the DE in (1) into a first order linear DE. b) Use the answer obtained in part 2a to find an implicit solution...
Use the substitution z=w/t to find an explicit solution to the IVP: dw/dt = (6w^4 + t^4) / (4w^3 t) , w(1)=2
I have this system of equation where I need to convert them to system of first order. So, here is the original equation. Equation: 2*U + x*(1-n/(n+1))*U' +...
Differential equations question
Question: A perfectly competitive firm maximises profits by producing the quantity Of output at which marginal cost equals price. Assuming that it takes time for...
I have been asked to prove the below function satisfies heat equation. u(r,t)=2Uπ∑n=1∞ {(−1)^n+1}(1/r)sin(nπr)e^−n^2π^2t I have tried to equate ∂u/∂t = ∂^2u/∂x^2 however both...
dN/dt=aN-bN^2 its for a population problem.
Using direct evaluaton the convolution of f(t)=t and g(t)= e-2t
F(s)=s2/ (s+1)(s2+2s+5)
Let r=6x5/4,x>0. Use differentials to estimate the percentage change in r, if x increases by 4 . What is the percentage change in r?
m.(d2x/dt2) + R(dx/dt) -kx=0 when m= x2 , R= x-x2 , k=1 I have no idea of what method to use to get the solution.
Supposed to find using inspection method
System of 1)diff(u(x,y),x)+[4*diff(v(x,y),y)]=0 2)diff(v(x,y),x)+[9*diff(u(x,y),y)]=0 with u(x,0)=2*x and v(x,0)=3*x a)Convert to pde second order b)Characteristics...
V=10*t-(t2)/20 a) State the logical domain of the function, i.e. the values of t during which soil is being removed. b) At what rate is the soil is being removed at the end of...
I'm confused on this topic in my Diff Eq class.
How do you solve this differential equation, (x-y2 )dx + 2xy dy =0
a) On January 1 2000, the park estimated that they had 500 deer on their land. Two years later, they estimated that there were 550 deer on the land. Assume that the number of deer was changing exponentially,...
Suppose that 120 deer are placed in a protected region. If the region can support a maximum deer population of 500, then the bounded growth model for the deer population gives us which differential...
Supply voltage of a DC motor is given by: V(t)=Ri(t)+L (d i(t))/dt+kω(t) Here i(t) is the current through the coil, R is the resistance, L is the inductance of coils, ω(t) is the angular...