Volterra integral equations: :- t)u(t)dt it

Q: dy For the linear differential equation: dx 3x3 + sinx + 8y, calculate the integration factor.

A: we are given a linear differential equation dydx=3x3+sinx+8y we have to find the integrating factor…

Q: sec2 x dx sec2 x – 1 f.

A:

Q: du = t2 + 3u, t> 0, u(5) = dt 100

A: Given differential equation tdudt=t2+3u and u5=100 ⇒tdudt−3u=t2⇒dudt−3tu=t2t⇒dudt−3tu=t Hence, the…

Q: Solve for an autonomous equation? dy/dt = f(y)

A: An autonomous first-order ordinary differential equation is an equation of the form

Q: y" + y " +y' + y = 1

A: A differential equation is said to be linear if no terms in it are formed by multiplication of two…

Q: Consider the system of equations (Enter your equation, e.g., y=x.) And for the (non-zero) horizontal…

A: Introduction: A nullcline is a curve in phase space where a particular variable has zero…

Q: (b) Ir(t) x u(t)] dt (i) Find the product first, then differentiate. (ii) Apply the properties of…

A:

Q: Determine the type of points on the x(u, v) = (u, v, u²) surface. Differential geometry

A: Given point is Xu,v=u,v,u2.  This point is of the form Xu,v=fu,v,gu Let Xu,v=xi+yj+zk. Then,  x=u…

Q: 12. (D²-3D+2) y = e²x/(1+e²x). 12 (D2 201

A: 12) Given differential equation is  (D2 - 3D + 2)y = e2x/(1+e2x), we solve that problem by method of…

Q: (2^)u sec (VTt) 2V7t (a) y= tan dy: dt 5- v2 (b) y = 5 + v2 dy = -5- 2iv 5 -V-5-2iv5 %3D Need Help?…

A: Both the parts are given below.

Q: B. Evaluate the given line integral. Follow the direction of C as given in the problem statement. 2.…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…