Find all real solutions of the ordinary differential equations: y''+4y=x

Q: What is an orthogonal trajectory of a family of curves? Describe how one is found for a given family...

A: There are some conditions for the orthogonal trajectories.

Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded by the ...

A: For rotation about Y axis, the graph will be as shown,

Q: Two countries cooperated to airlift​ food, clothing, and other supplies to a blockaded city. The car...

A: Given:The cargo capacity was 30,000 cubic feet for planes from country A and 20,000 cubic feet for p...

Q: x dx+ye−xdy=0,y(0)=1

A: Click to see the answer

Q: In Exercises 25–26, find the areas of the surfaces generated by revolv-ing the curves about the give...

A: Given:

Q: Graph ƒ(x) = tan-1 x + tan-1(1/x) for -5<=x<=5. Then use calculus to explain what you see. How...

A: Simplify the function first in order to make its graph look easier, which can be done using trigonom...

Q: Consider the table. f(x) 10 4 13 16 8. 19 b. Express f in the form f(x) = ax + b

A: Given,

Q: y″ + y′ − 6y = 0

A: given:

Q: Find the length of the curve y = ln (sec x), 0<= x<= pai/4

A: Given,