Ask
Login
0
votes
1
answer
4.5k
views
1
answer
Show that $\int_{0}^{\infty}\,\sqrt{x}\,e^{-\sqrt[3]{x}}\,dx=\frac{315}{16}\sqrt{\pi}$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
3.6k
views
1
answer
Using Runge-Kutta method of order four find $y(0.2)$ with $h=0.1$ . Given $\frac{dy}{dx}=\frac{1}{(x+y)},y(0)=1$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
936
views
1
answer
Using R-K method of fourth order, solve $\frac{dy}{dx}=\frac{y^2-x^2}{y^2+x^2}$ given $y(0)=1$ at $x=0.2,0.4$.
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
7.6k
views
1
answer
Compute $y$ at $x=0.25$ by modified Euler's method , given $y'=2xy , y(0)=1$ .'
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
8.2k
views
1
answer
Solve the equation $\frac{dy}{dx}={1-x}$ given y(0)=0 using modified Euler's method & tabulate the solution at x=0.1,0.2& 0.3 . Compare your results with exact solution.
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
7.9k
views
1
answer
Using Euler's method find the approximate value of y where when x=1.5 in five steps taking h=0.1 given $\frac{dy}{dx}=\frac{y-x}{\sqrt{xy}}$ and y(1)=2
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
4.6k
views
1
answer
Using Euler's method find the approximate value of y where $\frac{dy}{dx}=\frac{y-x}{x}$ and y(1)=2 at x=2, taking h= 0.2 and compare it with exact value.
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
3.7k
views
1
answer
Using Taylor's series expansion solve $\frac{dy}{dx}=-xy^2$ with x=0,y=2 and compare it with exact solution.
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
2
votes
1
answer
18k
views
1
answer
Using Taylor's series method, obtain the solution of the differential equation $\frac{dy}{dx}=3x+y^2$ with $x_0=0,\,y_0=0$ at $x=0.1$ correct to four decimal places.
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
1.8k
views
1
answer
Solve $(x-1)^3\frac{d^3y}{dx^3}+2(x-1)^2\frac{d^2y}{dx^2}-4(x-1)\frac{dy}{dx}+4y=4\hspace{0.2cm}log(x-1)$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
1
vote
1
answer
7.6k
views
1
answer
Solve $(3x+2)^2\frac{d^2y}{dx^2}+3(3x+2)\frac{dy}{dx}-36y=3x^2+4x+1$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
1.2k
views
1
answer
Solve $\left(\frac{d}{dx}+\frac{1}{x}\right)^2y=\frac{1}{x^4}$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
1.1k
views
1
answer
Solve $x^2\frac{d^2y}{dx^2}-x\frac{dy}{dx}+4y=cos(log\hspace{0.1cm}x)+ x\hspace{0.1cm}sin(log \hspace{0.1cm}x)$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
1
vote
1
answer
10k
views
1
answer
Solve $\frac{d^2y}{dx^2}+y=cosec(x)$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
3
votes
1
answer
11k
views
1
answer
Solve $\frac{d^2y}{dx^2}+5\frac{dy}{dx}+6y=e^{-2x}sec^2x(1+2tan\,x)$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
1.1k
views
1
answer
Solve $\frac{d^2y}{dx^2}+2\frac{dy}{dx}+y=xe^{-x}cosx$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
1.3k
views
1
answer
Solve $(D^3+1)y=e^{x/2}sin\left(\frac{\sqrt3}{2}x\right)$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
1.2k
views
1
answer
Solve $\frac{d^2y}{dx^2}-3\frac{dy}{dx}+2y=2e^{x}cos\frac{x}{2}$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
1.8k
views
1
answer
Solve $\frac{d^2y}{dx^2}-4\frac{dy}{dx}+4y=8(x^2+sin2x+e^{2x})$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
5.2k
views
1
answer
Solve $\frac{d^3y}{dx^3}-2\frac{dy}{dx}+4y=3x^2-5x+2$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
4
votes
1
answer
8.9k
views
1
answer
Solve $(D^4+8D^2+16)y=sin^2x$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
3.6k
views
1
answer
Solve $6\frac{d^2y}{dx^2}+ 17\frac{dy}{dx}+12y=e^{(-3/2)x}+2^x$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
1
vote
1
answer
11k
views
1
answer
Solve $(D^3-2D^2-5D+6)y=e^{3x}+8$ .
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
2.3k
views
1
answer
Solve $xy (1+ x y^2) \frac{dy}{dx} = 1$
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
0
votes
1
answer
12k
views
1
answer
Solve $(1 + log xy) dx + (1 + \frac{x}{y}) dy = 0$
engineering mathematics updated 6.0 years ago by teamques10 ★ 70k
<prev • 28,287 results • page 658 of 1132 • next >