Question: Solve the differential equation ( 5 x ^ 3 + 1 2 x ^ 2 + 6 y ^ 2 ) dx + 6 xydy

Solve the differential equation (5x^3+12x^2+6y^2)dx +6xydy=0

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

i need help 1) Solve the differential equation dx - x =3, x0) =-2 Find x(s ) and let the answer be picasion 0.1 2 ) Solve the clifferential equation dy + 24 = 12, 4 (0 ) = - 4 Find yet) s submit as...

Q:

(a) Solve the differential equation 2xyy0 = x 2 y 2 . (b) Find the differential equation whose solution is given by (i) y = Ae2x + Be2x (ii) y = c(x c) 2 where c is a constant. (c) Solve dy dx = x(2...

Q:

Q1) Solve the differential equation (y^(13) x )(dy)/(dx) = 1 + x. use the initial condition y(1)=3 , express y^14 in terms of x Q2) find the function y=y(x) for x>0 (dy)/(dx) = (2 + 12 x)/(xy^2) x >...

Q:

Please help Problem 3. [20%] Solve the differential equation sin x - dy + 2y cos x = 1 dx subject to the boundary condition y (nt/2) = 1

Q:

36- Let k = l and M = IUD, and assume the initial population is 1(0) 2 5 _ (a) Solve the differential equation %x% = x( 100 1) for 1 _ (b) Graph the population x(t) for U E t E 20. (c) When will the...

Q:

In Exercises 1535, solve each equation. Then state whether the equation is an identity, a conditional equation, or an inconsistent equation. 5 + x + 3 + 1 x - 2 || 8 x + x = 6 -

Q:

Solve the following equation. 2 X 3 - 1 5x3+6=0 Larger x = type your answer... Smaller x = type your answer...

Q:

2.2 Exercises (Separable Variables) Use separation of variables to solve the differential equation. dy 1. = xy 2. Y = xe-y dx dx dy 3. 4. xyy'=x+2 dx dy 5. = y-y 6. = xy + 3x-2y-6 (Hint: try to...

Q:

1. Use the - 8 definition of limit to show that lim(-4x + 1) = -7 2. Find the limit: lim 2x + 1 x-4 sin(5w) 3. Find the limit: lim W-0 W 1 -1 5. 4. Find the limit: lim X0 Find the limit: lim x+1 X...

Q:

1. Use the - 8 definition of limit to show that lim(-4x + 1) = -7 2. Find the limit: lim 2x + 1 x-4 sin(5w) 3. Find the limit: lim W-0 W 1 -1 5. 4. Find the limit: lim X0 Find the limit: lim x+1 X...

Q:

Perry, Inc., paid a dividend of $2.50 yesterday. You are interested in investing in this company, which has forecasted a constant-growth rate of 7 percent for its dividends, forever. The required...

Q:

Suppose an electricity storage battery producer faces the following production function: Q= 0.4KL where Q is the number of batteries, K is units of capital and L is units of labour. The marginal...

Q:

To control yourself being exposed to cold conditions while performing manual task, what do you need to do? Take regular rest breaks in a warm place in accordance with organisational protocols and...

Q:

A particle is moving in three dimensions and its position vector is given by; r(t) = (4, 4t + 2, 3t)i + (4, 5t - 2, 3)2 + (3, 3t + 3, 1t)k where r is in meters and t is in seconds. Determine the...