Top answers

solve the 1st order differential equation 2y+(x*dy/dx)=x^3

1st we note our three methods for solving 1st order differential equation: separating the x and y variables to both sides of the equation, and integrating both sides with respect to x. Recognising an exact d...
DH
3342 Views

find the stationary point of the curve for the equation y=x^2 + 3x + 4

dy/dx = 2x +32x + 3 = 0x= 3/2(3/2) 2 + 3(3/2) + 4 = 2.25 + 4.5 + 4 = 10.75
IH
3506 Views

Write the Maclaurin’s series for f(x)=sin(3x)+e^x up to the third order

To simplify this question, it is possible to expand the two elements of the function and then add the two expansions together.First, the expansion of sin(3x) around the origin is sin(3 0)+d/dx sin(3x)+d²/dx²...
TD
4919 Views

Find the derivative of the arctangent of x function

y = arctan(x)Start by taking the tangent of both sides:tan(y) = xTake the derivative of each side with respect to x, using implicit differentiation/the chain rule for the LHS, then rearrange to make dy/dx th...
MB
2748 Views

MEI (OCR) M4 June 2006 Q3

The question may be seen here: https://pmt.physicsandmathstutor.com/download/Maths/A-level/M4/Papers-OCR-MEI/Combined%20QP%20-%20M4%20OCR%20MEI.pdf i) Let A = 4E-4 W, B=1E4 m/s^2 s.t. P = m A V*(B+V^2).Recog...
OK
2847 Views