Skip to main content

21MAT31 Model Question Paper-II Question 1 Answer VTU 2023


MODULE 1


1A.7
Find the Laplace transform of   (𝑖) 𝑒 −3𝑡 𝑠𝑖𝑛5𝑡 𝑐𝑜𝑠3𝑡 (𝑖𝑖) 1−𝑒 𝑡 �
.

Find the Laplace transform of the square–wave function of period a given by  𝑓(𝑡) = { 1, 0 < 𝑡 < 𝑎/2 −1, 𝑎/2 < 𝑡 < 2
.
Using the convolution theorem find the inverse Laplace transform of 1 (𝑠 2+1)(𝑠 2+9)








Comments

Popular posts from this blog

Raju is a Civil Engineer. He is writing software to automate his work. As a part of his requirement, he wants to calculate the circle diameter, circumference, and area. Help Raju to complete his task. Get radius as input.

OUTPUT

Compute sin(x)/cos(x) using Taylor series approximation.Program and Algorithm Computer Science Engineering VTU

Taylor series  #include<stdio.h> #include<stdlib.h> #include<math.h> int main() {  int ch,i;  float num,den,x,degree,sum=0,term;  printf("enter 1 for sin(x)\n enter 2 for cos(x)\n");  scanf("%d",&ch);  printf("enter the degree\n");  scanf("%f",&degree);  x=(degree*3.14)/180.0;  switch(ch) {   case 1:num=x;   den=1;   i=2; break;   case 2:num=1;   den=1;   i=1;   break;   default:printf("enter the proper choice\n");   exit(0); }   do {   term=num/den;   num=-num*x*x;   den=den*i*(i+1);   sum=sum+term;   i=i+2; } while(fabs(term)>0.000001);   if(ch==1) {   printf("sin(%f)without using built in function=%f\n",degree,sum);   printf("sin(%f)with using built in function=%f\n",degree,sin(x)); } else {  printf("cos(%f) without using buil...