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Please help me answer this! It would be greatly appreciated! Thank you!    Consider the DE: y' + 1/3 y tan(x) = cos^2(x) / y^2. a) Make a substitution (z = ...) to transform...

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

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...

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' +...

dN/dt=aN-bN^2  its for a population problem.

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...

ignoring resistance, a sailboat starting from rest accelerates (dv/dt) at a rate proportional to the difference between the velocities of the wind and the boat.  a) the wind is blowing at...

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...