Question 8: Solve the following initial value problem: y" – 6y' + 13y 0, y(2) = 6, y' (1) = 9 %3| -

Q: 42 x²y" – 4xy' + 6y = %3D

A:

Q: log(-x) +log(2 – x) = log( 3)

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Q. 19) Suppose 5000 O.R is invested at 6% interest for 7 years. Find the account balance if nt it is…

A: Here principal amount P=5000 interest rate =6%=0.06 time t=7 years (a)Monthly n=12…

Q: Find all solutions of y" = ln x

A: We have to the differential equation.

Q: If g(t) = 4t – 2t², find %3D - g'(3) =

A: To find g'(3) , first we will differentiate the given g(t) and then put t= 3 to get the required…

Q: (a) Yes. (b) No. LE ex²+y² sin ydydx = 0?

A: We have to verify  or not.

Q: Question 4 Solve the following equations using the appropriate substitutions (a) = 5y + ey. (b) rdy…

A:

Q: a). A drug in the blood stream decays by according to the equation y'=ky, where y is the…

A:

Q: and oh if as Find (i) hlYis) = L0ggo %3D

A: Given h(r,s)=logsr To find delh/delr and delh/dels

Q: Question 6 Determine the equation whose Y'=Y/3x A y= 3. B . x² = y3 1. 3x2 = y

A: We have to solve

Q: If e" = a find the value of cosh(x) for a = 7.515 to 3 decimal places.

A: we will use the formula for cosh(x) cosh(x)=ex+e-x2

Q: Find y' for each of the following. e2x+3y = x2 - In %3D

A: Answer and explanation is given below

Q: Solve the following intial value problem. x cos" Cy) de (4) dx + tan y dy: y(l0)=10

A:

Q: 4. What value of x would make f(x) = 12? %3D

A: Given:  f(x)=12 We have to find the value x would make f(x)=12.

Q: 6. 10% of a radioactive substance decays in the first 5 minutes. If Question # the initial mass is…

A: We have to use 1st order decay here.

Q: which of the following is the boundary of D? A.ƏD = 0 c. aD = 26 C 1 2 - 1 +i | = 23. B. ƏD=C D. OD…

A: For any complex number: z=x+iy, it can be written that: z=x2+y2.

Q: Solve the following equation y"+y' In|x|

A: Given : Differential Equation : y''+y'=ln|x| To Find : Solution of the differential equation. The…

Q: 5) The population of a town is represented by the formula P(t) = A(1.2)ʻwhere A is the current…

A:

Q: If y =ex-2x, then y " = (2x – 2)²e*²-2x. %3D

A: Given : y = ex2-2x

Q: -1/6(e6u) = 1/5(e5t) + constant  when u(0) = 7

A:

Q: 1/2 xe2x dx D 1/4 None of these 1/16 6/L 1/9

A: We will solve it by chain rule ∫uv dx = u∫vdx - ∫(u')∫vdxdx

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.