solve the given differential equation by using anappropriate substitution ( Each Problem is Homogeneous )  Please give a detailed explanation for everystep  (x-y)dx +x dy =0

The following integrand is the product of an odd and an even function. What is the result of the integral ſ²2₂t² sin(t) dt. -2 1 B. Ao ∙1 C. Ao = 5/6 D. A₁ = 0 A. Ao Hint: Integration property of odd/even functions in symmetrical domains. - = E. None of the above

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What's the median of the following points? x = Type your answer... [-3 3 4 2 -1 1 4 5]

I need help on sub parts a,b and c:  Subpart c's answer should be as a fraction not as a decimal

Topics Discussed: Static of Rigid Bodies, Force Vector, Addition of a System of Coplanar Forces, Cartesian Vector Please re-compute and re-solve the given, This is my answer. But I also want to see your expert answer if we land in the same solutions and answers. Please show your complete solution. Thank you.

As the potential across the resistor increased, the current through the resistor increased. If the change in current is proportional to the voltage, the data should be in a straight line and it should go through zero. In these two examples how close is the y-intercept to zero? Is there a proportional relationship between voltage and current? If so, write the equation for each run in the form potential = constant x current. (Use a numerical value for the constant.)

Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.) 3 y" + 64y = 9t³ sin 8t The root(s) of the auxiliary equation associated with the given differential equation is/are (Use a comma to separate answers as needed.) Write the form of a particular solution. Choose the correct answer below. OA. Yp(t)=t(A3t³ + A₂t² + A₁t+ A₁) e¹ cos 8t + t ¹ cos 8t+t(B3t³ + B₂t² + B₁t+Bo) e' sin 8t O B. Yp(t) = (A3t¹ + A₂t³ +A₁t² + A₁t) e' cos 8t + (B3tª + B₂t³ + B₁t² + Bo) e' sin 8t OC. Yp(t)=t[(A3t³ +A₂t² +A₁t+A₁) cos &t+t(B3t³ + B₂t² + B₁t+ B₁) sin 8t OD. Yp(t) = (A3t³ + A₂t² +A₁t+A₁) cos &t+ (B3t³ + B₂t² + B₁t+Bo) sin 8t

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