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(8 points) Solve the following differential equation: (y - x)dx + (x + y2)dy = 0....
(1 point) Solve the following differential equation: (tan(x) 8 sin(x) sin(y))dx + 8 cos(2) cos(y)dy = 0. = constant. help (formulas)
Solve the separable differential equation (y2+2)dx+y(x+4)dy=0.
2. Solve the differential equation (2xy + y)dx + (x2 + 3.ry2 – 2y)dy = 0. Answer: x²y + xy3 – y2 = C.
Solve the homogeneous differential equation -y d) dy 0. (Note: Some algebraic manipulation goes into putting your answer into the form below.) (1 point) Use substitution to find the general solution of the differential equation (2-y) dx + x dy = 0. (Use C to denote the arbitrary constant and Inl input if using In.) help (formulas)
solve the differential equation dy y(x - y) dx x2
solve for the given differential equation dy 8. dx x y In each of Problems 9 through 16.
Solve the exact differential equation (4 x y tsin x) dx + (x" - Y) dy = 0
Solve the differential equation dx ex dy y 2 x Il
Solve the exact differential equation (4x*y+sinx)dx+(x4-y)dy=0.
solve the exact differential equation (-2sin(x)-ysin(x)+2cos(x))dx+(cos(x))dy=0 where y(0)=5