Homework Statement
How do u find whether the moment is negative or positive in the three examples shown?? Even if you use the right hand rule, for case 2 i have seen that the moment is negative and not positive. I am taking counter clockwise as positive moments. Please help out. Thanks...
Homework Statement
Given z= square root of xy, x = 2t - 1, y = 3t +4, use the chain rule to find dz/dt as a function of t.
Homework Equations
The Attempt at a Solution
dz/dt = partial derivative of z with respect to x multiplied by dx/dt + (partial derivative of z with respect...
Homework Statement
Find the general solution of x^2y" - 2y = 0
Homework Equations
The Attempt at a Solution
Can anyone tell me how to find the general solution of the Euler Cauchy equation. How do we make it into one?? Thanks.
Double integral question...
Homework Statement
Evaluate the integrals shown ( I have attached the file with the integral).
Homework Equations
The Attempt at a Solution
Ok, for the first one, can you tell me how I integrate sin x^2...?? which method should i use? And for the...
Homework Statement
Evaluate the integral shown ( I have the file with the given integral attached here).
Homework Equations
The Attempt at a Solution
So what i did was change dy dx into dx dy. Then i integrated y so the whole thing becomes 2x - y^3. I plugged the values (1+x)...
Homework Statement
Find the general solution of 2y(x^3+1)dy + 3x^2(1-y^2)dx = 0
Homework Equations
The Attempt at a Solution
So I first grouped the terms with dy or dx
2y/(1-y^2) dy = -3x^2/(x^3 +1) dx
after integrating both sides and solving, I got
ln (1-y^2)=...
Homework Statement
Evaluate the integral shown in the diagram
Homework Equations
The Attempt at a Solution
The first step to evaluating the integral is shown in the diagram (labelled as 2). They said they changed the order of integration. I was wondering what they mean by...
Homework Statement
How do u implicitly differentiate (xy)^1/2
Homework Equations
The Attempt at a Solution
Would it be 1/2(xy)^-1/2 multiplied by 1 and dy/dx. Thanks
Homework Statement
Find the mesh currents i1, i2 and i3
Homework Equations
The Attempt at a Solution
I did it this way
KVL at i1: 12 + 1i2 + 1i1 - 1I2 + 10 = 0
KVL at i2: 10 + 1i2 - 1i1 + 1i2 + 1i2 - 1i3 = 0
KVL at i3: 1i3 - 1i2 + 1i3 + 12 = 0
I was wondering...