Mister Exam

Other calculators

u+v*e^(5x)=2; 5v*e^(5x)=1

v

The graph:

from to

from to

The solution

You have entered [src]
       5*x    
u + v*E    = 2
$$u + e^{5 x} v = 2$$
     5*x    
5*v*E    = 1
$$e^{5 x} 5 v = 1$$
E^(5*x)*(5*v) = 1
Rapid solution
$$v_{1} = \frac{e^{- 5 x}}{5}$$
=
$$\frac{e^{- 5 x}}{5}$$
=
0.2*exp(-5*x)

$$u_{1} = \frac{9}{5}$$
=
$$\frac{9}{5}$$
=
1.8