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2) Find the general solution of the differential equation: (ry - sin x)dx + x’dy =...
Find the general solution to the differential equation dx sin χ xdy +3(y +x*) = sinx dx sin χ xdy +3(y +x*) = sinx
sin x 2. Solve the differential equation dx X Find the particular solution if y 1 when x = pi/2 +
3. (20 points) Find the solution to the differential equation y sin(y) dx + x(sin y - y cos y) dy = 0
Find the general solution for the differential equation. x dy/dx + 3y = 4x2 – 3x; x>0 y=_______
Differential Equations 3. (20 points) Find the solution to the differential equation y sin(y) dx + x(sin y - ycos y) dy = 0
Detailed answer Find the solution to the differential equation ysin(y) dx + x(sin y, ycos y) dy = 0
Find the general solution of the following differential equation: d²x dx + 2x = 3t-3 dt? dt + The general solution of the differential equation is X(t) =
[H] Consider the differential equation dx 1+x2 (H.1) Find the general solution of the above differential equation. You may leave your answer in implicit form for this part. (H.2) Find the particular solution of the above differential equation satisfying y(0) = - Write your answer in EXPLICIT form [i.e. y = f(x)].
o2: 16 Marks] Find the general solution of the differential equation (sin x)y" +(cos x)y' cos x by reduction to first order DE. o2: 16 Marks] Find the general solution of the differential equation (sin x)y" +(cos x)y' cos x by reduction to first order DE.
PLEASE ANSWER #2 Problem 1: Find the general solution for dx d?.x dt2 + 2k- + k.x = 0 dt where k is an arbitrary constant. Problem 2: Find a differential equation with solution -2.x -23 y = e cos(x) +e sin(x). Hint: Use the property that i2 = = -1 to simplify your work.