Question

What is the solution to the initial value problem below?

y′=5e^{x} +8x^{3} +x^{2} +4x

y(0)=3

Do not include "y=" in your answer.

Step 1

The given differential equation is, y′=5e^{x} +8x^{3} +x^{2} +4x.

Step 2

Integrate both the sides of dy=(5e^{x} +8x^{3} +x^{2} +4x)dx

Step 3

Where C is the integration constant.

Since y(0)=3 is given.

Substitute y=3 and x=0 ...

Tagged in

Q: The number of miligrams x of a medication in the bloodstream t hours after a dose is taken can be mo...

A: we are given a function

Q: find the domain and range of f(x)=X5+x (the last x is supposed to be squared) and domain and range o...

A: Given information:The given function is f(x)=X5+x^2 and g(y)=1/y-2.

Q: Help with #10

A: The acceleration of the moving particle is given by,a(t)=2ti+etj+cos(t)k To find the velocity ...

Q: Need help with D, E, and F. Anser A- h= 17.92/(pi)r^2 Answer B-S(r)= 35.84/r + (pi)r^2 Answer C- S'...

A: Given information:The surafce area of the baking powder is shown below:

Q: An equation of the tangent line to the curve y= 4x2-8x-5 at the point (-1, 5) is O y14x-9 Oy 14x71 O...

A: The curve is given by,

Q: Let R be the region bounded by y x, x 1, and y 0. Use the shell method to find the volume of the sol...

A: (A)It is given that, the region bounded by y = x2, x = 1 and y = 0.The region around the line y = -8...

Q: f(x)= 16x2-4x+2; x=1 (a) Find the derivative, by using the definition (b) Find the instantaneous rat...

A: (A) Found the derivative using the definition. Answer: f'(x)=32x-4

Q: 2 sec x Ay and the 2 In the figure to the right, the equation of the solid curve is y equation of th...

A: The curves are given by,

Q: The equation of the line tangnet to the graph of 24e^x at x=2?

A: Find the derivative of the given function.

Sorry about that. What wasn’t helpful?